Sine and cosine rule gcse questions

Sine and cosine rule gcse questions. cm2 (4) (Total for Question 21 is 5 marks) 21 In triangle RPQ, 8. [1] 2 14 cm 10 cm 63° C A B ­ Harder applications (2 triangle questions) ­ Bearings/Sine Cosine Rules Teacher: PETER HARGRAVES Source: HSC exam questions Exam Equivalent Time: 87 minutes Worked Solutions: Included Note: Each question has designated marks. You must show all your working out. 4 3D Vectors Word Questions. The graph does not start at the origin but it does pass through it. 5-a-day GCSE 9-1 Revision Cards; Books; Cosine Rule Textbook Exercise. Suitable for Edexcel, AQA and OCR. Name: Exam Style Questions. GCSE Maths Science English View All GCSE Other Functional Skills KS3 Maths KS3 English KS2 KS1 Courses & Exams Sine & Cosine Rules Example Questions Question 1: GCSE Revision Grade 1. Mr Barton's Quizzes; Awarding Bodies’ GCSE Quizzes; Exit Ticket; Questions GCSE; OCR; Trigonometry - OCR Solve problems using sine and cosine rule- Higher. Some of the worksheets displayed are 4 trigonometry mep pupil text 4, Mathematics linear 1ma0 sine and cosine rules area of, Past paper questions sine rule and cosine rule, Real life trig problems, Bearings work, The sine rule and cosine rule, Exam questions . between the . side is labelled with a lower-case letter, whilst the opposite angle to each side is labelled with the sin( ) w = sin( u u. Figure \(\PageIndex{2}\): The sine function Notice how the sine values are positive between \(0\) and \(\pi\), which correspond to the values of the sine function in quadrants I and II on the unit circle, and the sine values are C2 Sine and Cosine Rule Questions in Context Bearings Examples: Fred is standing at a point looking north. 5 Area, sine, and cosine rules . The Corbettmaths Practice Questions on 3D Trigonometry. (a) (b) (c) Question 5: Find the missing angle θ or side, x, for each of the triangles below. Log In. 8 41. 1. youtube. Siyavula's open Mathematics Grade 11 textbook, chapter 6 on Trigonometry covering 6. The sine rule can be used to find an angle from 3 sides and an angle, or a side from 3 angles and a side. Complete coverage of the topic Revision notes on Sine & Cosine Rules for the Edexcel IGCSE Maths syllabus, written by the Maths experts at Save My Exams. All at once Is the equation below a form of the sine rule or the cosine rule? sin In questions involving 3 sides and 1 angle. The opposite side is opposite the angle in question. GCSE Exam Papers . Please note some rounding to the final answer may differ as in so A series of questions testing - sine rule (missing side and missing angle) - cosine rule (missing side and missing angle) - area of triangle using 1/2 ab sin C - bearings (with sine rule and cosine rule) Solutions provided. Next: Similar Shapes Area/Volume Practice Questions The Sine and Cosine Rules Worksheet is highly useful as a revision activity at the end of a topic on trigonometric equations or for GCSE maths revision. Percentage: /100 This Sine Rule Cosine Rule and Area Mixed Exercise Worksheet offers comprehensive practice in advanced trigonometry concepts. Also covered, is how to use the formula for finding the area of a non-right-angled triangles, A = ½absin C. There is also reference to which paper each question came Download a copy of the questions here: QT The Sine Rule – calculations. In this article, we Textbook Exercise. 21° A video revising the techniques and strategies for using the cosine rule for side lengths and angles. The graph of the cosine function. They are suitable for AQA, Edexcel and OCR exam boards. When we first learn the cosine function, we learn how to use it to find missing side-lengths & angles in right-angled triangles. Worked examples: Shows how to apply the rules in problems. Every triangle has six measurements: three sides and three angles. Percentage: /100 Sine and Cosine Rule; Solving Linear Equations from Geometry Questions Angles – Basic Intro Angles – How to Label an Angle Transformations – Enlarging a Shape Transformations Conversion The Perpendicular Bisector of a Line The Angle Bisector The Perpendicular from a Point on a Line GCSE Revision Video 12 [1] Correct use of sine rule 𝑥= {. Solutions to Past Paper Questions – Sine and Cosine Rule 18) (a) Area = ½ × 7. com Question 4: Find the size of θ for each of these triangles. Sine Rule. Ship B leaves on a bearing of 140𝑜at 12kmper hour. Edexcel Maths Higher Paper 2 November 2018. Make sure you are happy with the following topics before continuing: – Trigonometry – Rearranging formulae Free online GCSE video tutorials, notes, exam style questions, worksheets, answers for all topics in Foundation and Higher GCSE. Title: Sine Rule, Cosine Rule, Area of Any Triangle MS - Edexcel GCSE Maths Created Date: Questions and model answers on Sine, Cosine Rule & Area of Triangles for the Edexcel IGCSE Maths syllabus, written by the Maths experts at Save My Exams. The Law of Sines (or Sine Rule) is very useful for solving triangles: a sin A = b sin B = c sin C. 6 cm The Corbettmaths Textbook Exercise on Cosine Rule. Disclaimer. Answer the questions in the spaces provided — there may be more space than you need. Plans & Elevations Of 3D Objects (including vertices, edges, faces) Questions. Must Practice GCSE (9-1) Maths Sine Rule Past Paper Questions. 17 Exam-Style Questions - Simultaneous Equations. IGCSE Subject Maths (0580) Exam Board : Cambridge International Examinations (CIE) Paper Type Extended Topic ; Trigonometry Sub-Topic Sine & Cosine Rule Booklet Question Paper 4. Use sine rule to find y to 1 decimal place. When we first learn the sine function, we learn how to use it to find missing side-lengths & angles in right-angled triangles. ) [4] (ii) State with a reason whether this approximation is an underestimate or an overestimate. Revision notes on Sine & Cosine Rules for the AQA GCSE Maths syllabus, written by the Maths experts at Save My Exams. In A Level maths trigonometry is developed further but that is not the focus of the trigonometry questions here. sine, cosine and tangent, though we write them as sin, cos and tan. The angle of elevation of the boats to the top of the lighthouses are 24° and 40° The Sine rule two sides and a not included angle two angles and any side The Cosine rule two sides and the included angle all three sides only The DEMO video shows a 8 examples where the coefficient of x squared is bigger than 1 The examples are animated to show the steps 20 questions for learners to practice the techniques (with Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. Click here for Questions . Free resources for teachers and students to hopefully make the teaching and learning of mathematics a wee bit easier and more fun. The Corbettmaths Practice Questions on the Area of a Triangle using Sine. This video shows how to find missing angles and sides using the sine rule. Previous: 3D Trigonometry Textbook Exercise. All at once. A video revising the techniques and strategies for using the sine rule for side lengths and angles. Here’s a copy of the written answers: QT The Sine Rule ANSWERS. Cosine Rule 1 - Find the missing side - 10 Questions. Primary GCSE. 5 + A sin 30(t – k)°. Type(s Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. This v Sine Rule Videos 333, 334 on www. 10. Try this paper-based exercise where you can calculate the sine functionfor all angles from 0° to 360°, and then graph the result. Contents. This video is part of the Pythagoras & Trigonometry module A video revising the techniques and strategies for proving the trigonometric rules, the sine rule, cosine rule and area of a triangle using sine. The depth, D metres, of the water at the end of a jetty in the afternoon can be modelled by this formula . Percentage: /100 AQA have teamed up with Craig Barton's Diagnostic Questions website to share free diagnostic questions assessment for our new 2017 GCSE Maths specification. Sine and Cosine Rule Mixed. com Question 5: Two small boats are 28m apart. Time Allowed: 83. label. Learn how to use the sine rule to solve triangles with this handcrafted resource for maths teachers and students. Separated for Foundation and Higher tiers. opposite angles. { x𝑜 [1] Final answer to 2 d. Given AB = 12m, BC = BD = 7m and angle BAC = 27° GCSE; Edexcel; Trigonometry - Edexcel Solve problems using sine and cosine rule- Higher. would be better if have more. Must Practice GCSE (9-1) Maths Cosine Rule Past Paper Questions. Previous: Sine Rule Textbook Exercise. 2 cm Angle PRQ= 320 (a) Assuming that angle PQRis an acute angle, calculate the area of triangle RPQ. com/channel/UCStPzCGyt5tlwdpDXffobxA/join🔥 Visit the NEW website here: www. The sine rule is a relationship among the lengths of the sides of a triangle and the sines of its angles. The worksheet includes examples and an explanation on using the sine rule (as well as an exam tip!). Practice Questions. QT The Sine Rule word problems ANSWERS. In questions involving 2 sides and 2 angles. Sin, Cos and Tan, mathematics GCSE revision resources including: explanations, examples The adjacent side is the side which is between the angle in question and the right angle. A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. Further Maths; GCSE Revision; Revision Cards Textbook Exercise. • Answer the questions in the spaces provided – there may be more space than you need. For learners and parents For teachers and schools. 1 Whole Numbers. The cosine of the angle = the length of the adjacent side Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. International; Using sine and cosine rule. Visit now! Next: Sine Rule and Cosine Rule Practice Questions. Rich Tasks . The sine rule. You can download the Sine, cosine and tangent ratios are used to find sides and angles in right-angled triangles. Diagnostic Questions . Are you looking for a Higher GCSE revision resource on using the sine rule? We have just the one for you! It contains the following downloads: a worksheet, a question sheet, the answers to the question sheet. Diagrams: Aid in visualising problems and solutions. Find the values of x and y. Worksheets with answers . 8. Sine rule. Sine Rule, Cosine Rule and Area (H) Trig Ratios and Exact Values (H) Volume and Surface Area (H) GCSE (1 -9) The Cosine Rule Instructions Use black ink or ball-point pen. Answer the questions in the spaces provided – there may be more space than you need. • Diagrams are NOT accurately drawn, unless otherwise indicated. 5847775A video explaining how to use the sine rule to find missing sides and missing angles. Revision Maths hierarchy navigation Sin, Cos and Tan GCSE exam questions on SINE and COSINE Rule. D = 5. Question: Your Report * Close Submit You must be logged in to vote for this question. You can always immediately look at a triangle and tell whether or not you can use the Law of Sines. Subject: Mathematics. Visit now! SINE AND COSINE RULES – PRACTICE QUESTIONS 1. And play with a spring that makes a sine wave. where . 1 and x = 0. Resource type: Lesson (complete) File previews. 6. • Answer all questions. 600 —1 Here is a triangle. This carefully selected compilation of exam questions has fully-worked solutions Note that these questions are sorted in date order (most recent questions first). 1 cm In triangle ABC, (a) (b) AB = 8. GCSE. Exercise. The cosine rule can find a side from 2 sides and the included angle, Sine and Cosine Rules are two formulas that can be used for solving such problems and side being an advantage when dealing with non-right angled triangles. Welcome to the Quiz! This quiz contains 11 questions from a mix of 1 subtopics. Revision notes on 3. You can also see Graphs of Sine, Cosine and Tangent. 2 m . The peak is \mathbf{1} and occurs at \mathbf{0}\degree and \mathbf{360}\degree,; The minimum is \mathbf{-1} and occurs at \mathbf{180}\degree,; The graph crosses the axis at \mathbf{90}\degree and \mathbf{270}\degree. To complete the Join this channel to get access to perks:https://www. (b) (i) Use the trapezium rule, with 3 strips, to find an approximate value for the area of the region bounded by the curve y = tanx,thex-axis, and the lines x = 0. TheEssential Skills 25 & 26 worksheets, along with actual SQA Exam Questions, are highly recommended. Time (including timetables & schedules) Questions. Sine Rule 1 - use the Sine Rule to find the missing side - 10 Questions. Learn GCSE Maths Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Eduqas Exam Papers Edexcel IGCSE Maths GCSE Statistics. You will need a calculator! Here's another of our MCQ quizzes, Catch up with our GCSE Maths Edge Revision Webinars On-Demand 11th June 2017. GCSE Revision Cards. Home Library Revision Timetable. GCSE Maths – Geometry and Measures . Sue walks around the perimeter of a triangular field. Textbook Exercise. Reviews. 1 Coming Soon. thegcsemathstutor. lengths of sides. Find the value of A and k. Contents Here you will find an application of the sine rule [] Are you looking for a Higher GCSE revision resource on using the sine rule? We have just the one for you! It contains the following downloads: a worksheet, a question sheet, the answers to the question sheet. 2 Negative Numbers. This video is part of the Pythagoras & Trigonometry modu Revision notes on Sine, Cosine Rule & Area of Triangles for the AQA GCSE Further Maths syllabus, written by the Further Maths experts at Save My Exams. 5. 4!! !55. Learn trigonometry concepts such as right triangles, the unit circle, graphs, and identities with Khan Academy. The graph is continuous for both positive and negative values of \theta and has a period of 360^o (this means that the graph repeats every 360^o ). Diagrams are NOT accurately drawn, unless otherwise indicated. This includes the sine rule, cosine rule and the formula Area = ½ab sin C. Sine Rule Videos 333, 334 on www. Home Practice. s) y [1] Correct evaluation sin( )= r. Edexcel GCSE Maths . This worksheet will show you how to work out different types of questions relating to the sine and cosine rules and area of a triangle. x sm [1] Correct use of right angled triangle, either trig or sine rule. co. You’ll learn how to generate the area of a triangle formula, use the formula to find the area of a triangle and apply this formula to other polygons. To understand the sine rule, we first need to know how to . 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. Every GCSE Maths student needs a working knowledge of trigonometry, and the sine and cosine rules will be indispensable in your exam. To learn about the Sine Rule please click on the Sine Rule Theory Guide link. p. One by one. The questions cover missing lengths, angles and values, and problems Using the Cosine Rule; Grade 6 Maths GCSE Non-Calculator. Use sine rule to find x to 1 decimal place. The sine rule describes the . The questions cover missing lengths, angles and values, and problems Revise trigonometric ratios of sine, cosine and tangent and calculate angles in right-angled triangles with this BBC Bitesize GCSE Maths OCR study guide. Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser. 2 × 8. Free timetable app. QT The Sine Rule – Word Problems. The question uses the Cosine Rule, but you are asked to prove within a parallelogram. 14 cm Dlagram NOT accurately draum 8 cm . AC - 7. Worksheet Question Worksheet Developing learners will be able to find the length of a missing side of a triangle using the cosine rule. Click here for Answers. Topic specific exam questions modelled on real life GCSE maths papers; Detailed mark schemes and answers are included; Covers a variety of exam question types on the cosine rule Help your students prepare for their Maths GCSE with this free cosine rule worksheet of 39 questions and answers. 32 Topics | 16 Quizzes . GCSE Maths Specification and Awarding Body Information Videos . I use it with students who are struggling to work out which bit of maths to use for different questions. Calculate The Law of Sines (sine rule) is an important rule relating the sides and angles of any triangle (it doesn't have to be right-angled!): If a, b and c are the lengths of the sides The sine rule can be used to find an angle from 3 sides and an angle, or a side from 3 angles and a side. relationship. Revise trigonometric ratios of sine, cosine and tangent and calculate angles in right-angled triangles with this Bitesize GCSE Maths Edexcel guide. ', 'What type of triangle can the sine rule be used on?'. 7 cm 5. corbettmaths. The three trigonometric ratios; sine, cosine and tangent are used to calculate angles and lengths in right-angled Formulae: Provides the cosine rule and sine rule formula. 25/07/2017. 8 ˆ ˆ cos 8 cos 2 bc A c A a b − +− = = = = = +− =! Now using that the angle sum of a triangle is 180!, we have Cˆ =− − =180 82. (Values of x are in radians. Questions and model answers on Sine, Cosine Rule & Area of Triangles for the CIE IGCSE Maths: Extended syllabus, written by the Maths experts at Save My Exams. You need either 2 sides and the non-included angle or, in this case, 2 angles and the non-included side. Clues and fully worked model solutions/answers available free from mathsupgrade. Trigonometric ratios and graphs Key points • a is the side opposite angle A. https: A closer look at how these topics are often combined to produce higher level exam questions. There is also reference to which paper each question came #3minutemaths #SimonDeaconmathsThis video is a fairly challenging proving Cosine Rule for GCSE maths, and is aimed at around grade 7+. The trigonometry GCSE maths revision section of Revision Maths covering: Sin, Cos, Tan, Pythagoras, Sine and Cosine Rule, Similar Triangles and Congruency. The six o’clock This resource contains all of the The Cosine Rule questions that have come up in the released Edexcel GCSE maths papers to date (Autumn 2021), arranged as a printable worksheet. Prime Numbers and Composite Numbers. He walks on a bearing 056° for 9. Plotting the points from the table and continuing along the x-axis gives the shape of the sine function. Tes classic free licence. Secure learners will be able to find a missing angle in a triangle using the cosine rule. So a lot of topics in 1 question which means it is an excellent video to watch during your maths EXAM CODE: 0580/41/O/N/18 A higher GCSE revision resource on the sine rule. c. IGCSE Subject Maths (0580) Exam Board : Cambridge International Examinations (CIE) Paper Type Extended Topic ; Trigonometry Sub-Topic Sine & Cosine Rule Booklet Question Paper 11. 1 Types of Numbers. Along with Stepwise Solutions, Timing, PDF download to boost your the GCSE Maths Grades. Sine Rule and Cosine Rule: GCSE Questions. Q4. The questions cover missing lengths, angles and values, and problems This is the video solution for our Mathematics GCSE Sine Rule, Cosine Rule and Area (Higher) Questions by Topic. ; The function of \cos(\theta) can be described as a wave, namely the There are notes with worked examples, worksheets with solutions, questions by topic for Foundation and Higher tiers with mark schemes on this GCSE Maths Geometry and Measures revision page. 1 Equal Symbols. Ideal for GCSE revision, this worksheet contains exam-type questions that gradually increase in difficulty. AQA GCSE Maths Higher 2018; Paper 1. Calculate the length SINE AND COSINE RULES – PRACTICE QUESTIONS 1. The cosine rule is an equation that can help us find missing side-lengths and Past Paper Questions – Sine Rule and Cosine Rule. October by Maths4Everyone. There are also 3D trigonometry worksheets based on Edexcel, AQA and OCR Help your students to prepare for the GCSE maths exam with these exam style Geometry questions on the cosine rule. Comprehensive quiz on Sine & Cosine Rules for the GCSE Maths AQA Higher specification. Questions include identifying the inequalities as well as drawing inequalities onto a graph. 2 Substitute the Revise trigonometric ratios of sine, cosine and tangent and calculate angles in right-angled triangles with this Bitesize GCSE Maths Edexcel guide. . Iteration Formula. Front The Sine Rule. 5e: Exercises - Graphs of Sine and Cosine Functions Find a formula for the height function \(h\left(t\right)\). Jump to other topics. Trig, Sin, Sine, Cos, Cosine, Tan, Tangent Law of Sines. Improve exam confidence on this content The sine and cosine rules are fundamental concepts used to solve problems in Here's another of our MCQ quizzes, this time on advanced trigonometry. Next: Quadratic Inequalities Practice Questions. Here is everything you need to know about finding the area of a triangle using trigonometry for GCSE maths (Edexcel, AQA and OCR). Calculators may be used. 3, b=2. It begins with Check In questions so that Learn and test your knowledge easily with our expert-written Sine, Cosine Rule & Area of Triangles flashcards like 'State the equation for the sine rule . [Edexcel, 2016] Sine and Cosine Rule [3 Marks] SOLUTIONS. Contents (Total for question = 6 marks) Sine and Cosine Rule - Year 1 Core PhysicsAndMathsTutor. 4(a) How far is ship A from Port Phasmatys after 90minutes? [1 mark] Answer km 4(b) Calculate the distance between A and B after 90minutes. Information The sine rule can be used to find an angle from 3 sides and an angle, or a side from 3 angles and a side. Now calculating angle Aˆ and Bˆ using the cosine rule, we have 22 222 2 1 456 24 5 5 40 1 8 1 82. ; As with the sine graph, this portion is one period of the graph, so Section 4: Sine And Cosine Rule Introduction This section will cover how to: Use the Sine Rule to find unknown sides and angles Use the Cosine Rule to find unknown sides and angles Combine trigonometry skills to solve problems Each topic is introduced with a theory section including examples and then some practice questions. 1 Proof. Submit. Benefits for learners: Develops problem-solving skills in trigonometry. Less Common Functions. v The Sine and Cosine Rules Worksheet is highly useful as a revision activity at the end of a topic on trigonometric equations or for GCSE maths revision. 11 cm 31° 65° 58° y 51° 7. of a triangle and their . Here is a selection of free resources to get you started. 2. Edexcel GCSE Maths The Ultimate Collection of ALL questions on SINE & COSINE RULES from EdExcel 1MA1 9-1 GCSE Mathematics - FREE. It can be expressed in the following way: (a/sinA) = (b/sinB) = (c/sinC Maths Genie - Free Online GCSE and A Level Maths Revision 2. Use this information as both a guide to the question's difficulty Showing top 8 worksheets in the category - Gcse Bearings With Sine And Cosine Rule. In questions involving 1 side and 3 angle. About the Sine Rule. This is a set of mixed questions involving angles in a triangle, Pythagoras' theorem, trigonometry, cosine and sine rules, similar triangles, area of a triangle. Report a Question. Time Allowed: 57. I built Diagnostic Questions to help you identify, understand and resolve key misconceptions. The sine rule is an equation that can help us find missing side-lengths and angles in any triangle. co The Sine and Cosine Rules Worksheet is highly useful as a revision activity at the end of a topic on trigonometric equations or for GCSE maths revision. A Level Revision. He then walks an additional 3. Videos Exam Questions Exam Questions Booklet Solutions; Exam Questions: The Sine Rule: Solutions: The Cosine Rule: Exam Questions: The Cosine Rule: Solutions: Congruent Triangles: Exam Questions: Congruent Triangles: Solutions: 3d Pythagoras and Trigonometry: Exam Questions: Maths revision video and notes on the topic of the Sine Rule, trigonometry, finding missing angles and lengths of non right angled triangles. • Answer the questions in the spaces provided – there may be The Corbettmaths Practice Questions on the Area of a Triangle using Sine. Edexcel GCSE Maths June 2018 Paper 1. using sine and cosine rule is redundant if you can just use sohcahtoa, because sin and cos of 90° are 1 or 0, so it just cancels a lot of things and becomes more work when you Edexcel Maths GCSE - Sine Rule, Cosine Rule and Area (H) PhysicsAndMathsTutor. You may use tracing paper if needed. Type(s): A revision resource for working with right angled triangles and using the sine and cosine rules and finding the area of a triangle using ½absinC. Further Maths; GCSE Revision; Revision Cards; Books; Sine Rule and Cosine Rule Practice Questions and model answers on Sine, Cosine Rule & Area of Triangles for the AQA GCSE Maths syllabus, written by the Maths experts at Save My Exams. The questions cover missing lengths, angles and values, and problems Revise for your GCSE Maths exam using the MME worksheets by topic. Just look at it. Student Zone Assignment Calculator Calendars and Organisers Study survival guides Free practice tests We can use the sine and cosine rules to calculate angles and lengths in triangles. Integers Quiz. 21 MB. Past paper questions for the Sine and Cosine Rule topic of A-Level Edexcel Maths. 4. Use cosine rule to find a to the nearest centimetre. (Side a faces angle A, side b faces angle B and The Law of Cosines Solving Triangles Trigonometry Index Algebra Index. the length of the hypotenuse. The Corbettmaths Practice Questions on Trigonometry. com. c is the side opposite angle C. Sine & Cosine Rules revision and practice questions. minutes Score: / 47. You can download the Sine, Cosine Rule and Area of a Triangle. 6 Something only has two questions. Parallel or perpendicular lines on a graph; mid-level questions. A Level. Use cosine rule to find b to 3 significant figures. It begins with Check In questions so that Sine & Cosine Rule Question Paper 4 Level . GCSE Biology Revision; GCSE Chemistry Revision; (and a, b and c) can be swapped to make sure you can use the equation for the sine and cosine rule. zcm( sdp) [1] Final answer 3 [1] Finding angle = s v r s t r sin s v r ×sin s z= w y. Please also find in Sections 2 & 3 below videos, PowerPoints, mind maps and worksheets on this topic to help your understanding. Free PDF download: Ensures easy access for revision. Is the equation below a form of the Is the equation below a form of the sine rule or the cosine rule? The basic trigonometric functions are sine (sin), cosine (cos), and tangent (tan). The cosine rule; GCSE maths grade 6+ Parallel Lines. The questions cover missing lengths, angles and values, and problems A video explaining how to use the cosine rule to find missing sides and missing angles. Next: Cosine Rule Textbook Exercise. 2 The Four Rules for Positive Numbers. 6 Comprehensive worksheets covering all you will need on the Sine and Cosine rules for GCSE. The Sine and Cosine Rules Worksheet is highly useful as a revision activity at the end of a topic on trigonometric equations or for GCSE maths revision. Sine and Cosine Rule 1 (GCSE Higher Maths) Sine and Cosine Rule 2 (GCSE Higher Maths)- Use the sine rule in triangles ABP and AB BP ACP to prove that [June 2012 Paper 1] Triangle ABC has an obtuse angle at C. • You can use the cosine rule to find the length of a side when two sides and the included angle are given. Give your answer to a suitable degree of These videos show you how to use the sine and cosine rules to find missing angles and sides of non-right-angled triangles. Figure 1 shows the design for a structure used to support a roof. Edexcel Maths GCSE - Sine Rule, Cosine Rule and Area (H) PhysicsAndMathsTutor. GCSE Maths sine rule and cosine rule trigonometry in non-right-angled triangles exam question practice solutions from past papers and practice papers. The cosine rule can find a side from 2 sides and the included angle, or an angle from 3 sides. Cosine Rule. 1 Number. The questions cover missing lengths, angles and values, and problems Questions and model answers on Sine, Cosine Rule & Area of Triangles for the Edexcel IGCSE Maths syllabus, written by the Maths experts at Save My Exams. the sides and angles of any triangle: Each . Area Of A Triangle Trig (½abSinC). Next: Trigonometry: Area of any Triangle Textbook Exercise. They are also excellent for one-to-one tuition and for interventions. The law of sines is all about opposite pairs. Cosine rule; SOHCAHTOA; Practice sine rule questions. The structure consists of four steel beams, AB, BD, BC and AD. All questions from past papers, specimen papers, sample papers are included. m. 5-a-day Workbooks. While reasonable endeavours have been used to Answer all questions. sine and cosine rule are theorems you can prove using those definitions that apply to any triangle. Examples, solutions, videos, games, activities and worksheets to help GCSE Maths students learn how to use the sine rule and cosine rule. Model Answers. b is the side opposite angle B. 1 Sine & Cosine Rules for the CIE IGCSE Maths: Extended syllabus, written by the Maths experts at Save My Exams. The sine of an angle (sin) in a right-angled triangle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. The key is to notice that AC = PQ at the bottom of each triangle. Mark scheme included. When Not To Use The Sine or Cosine Rule: When the question ONLY mentions lengths (no angle given or required) Sine Rule. This video i The Sine Rule Exam Questions The Sine Rule Solutions The Cosine Rule Exam Questions The Cosine Rule Solutions Congruent Triangles Congruent Triangles Solutions 3d P ythagoras 3d P ythagoras Solutions Histograms Histograms Solutions Venn Diagrams ("Given that" questions) Exam Questions Venn Diagrams Solutions Grade 8/9 Videos Learn trigonometry concepts such as right triangles, the unit circle, graphs, and identities with Khan Academy. com, Extra Q14: 4 Marks 1. This was taken from my 150 Page workbook which covers many more maths topics. Worksheets are 4 trigonometry mep pupil text 4, Mathematics linear 1ma0 sine and cosine rules area of, Past paper questions sine rule and cosine rule, Real life trig problems, Bearings work, The sine rule and cosine rule, Exam questions involving bearings and Revise for your GCSE Maths exam using the MME worksheets by topic. Download worksheet >> 184,000+ students helped 1,000,000+ one-to-one study support sessions ABN 41 114 279 668. • You must show all your working out. 37 MB. x {×sin t t= t s. 6: ? K O #= >2+ ?2− =2 The size of BC can be found using the sine rule. minutes Score: / 69. It will help you to understand these relativelysimple functions. 5 cm, angle ACB = Note that these questions are sorted in date order (most recent questions first). Yesterday the low tide was at 3 p. 9cm2 (3sf) By sine rule in triangle ADC, By cosine rule, AB2 = 302 + 602 - 2 × 30 × 60 × cos 150 This resource contains all of the The Cosine Rule questions that have come up in the released Edexcel GCSE maths papers to date (Autumn 2021), arranged as a printable worksheet. Interactive Resources . And best of all they all (well, most!) come with answers. If you Revision notes on Sine & Cosine Rules for the Cambridge O Level Maths syllabus, written by the Maths experts at Save My Exams. 5 km on a bearing of 112° before stopping to rest. Integers. Check the following video in which I solve a past paper question. Sine and Cosine Rules and Area of a Triangle (Higher Only) Worksheet . Exam Questions: The Sine Rule: Solutions: The Cosine Rule: Exam Questions: The Cosine Rule: Solutions: Congruent Triangles: Exam Questions: Congruent Triangles: Solutions: 3d Pythagoras and Trigonometry: Edexcel Internal Review 4 . Age range: 14-16. In this case, we have a side of length 20 and of 13 and the included angle of $$ 66^\circ$$. temp text Worked example 24: The sine rule Everything you need to know about The Sine and Cosine Rules for the GCSE Mathematics Eduqas exam, totally free, with assessment questions, text & videos. t w z z) y sin(𝑥)= r. 3D Pythagoras and Trigonometry. Sin, Cos, and Tan. BC sin( $ # %) = # $ sin( # % $) BC sin(30 ) = 24 I Here you will find an application of the sine rule [] Sine Rule, Cosine Rule and Area of a Triangle: Diagnostic Questions. A, B and C are angles. The questions cover missing lengths, angles and values, and problems sohcahtoa tells you the definitions of sin, cos and tan on a right angled triangle. s) y [1] Correct use of sine rule sin( )= wsin( u u. The key features of this graph you need to remember:. Is the Solution to question 4 First draw a diagram and label the sides. Give your answer correct to 3 significant figures. When using the area of a triangle Law of Cosines. Information The marks for each Sine and Cosine Rule. Work out 9. Numbers. 8 and c=3. Given that sin A , use triangle ABC to show that angle B — 600 (40 — 6) cm (2 — v"ã) cm 300 Given that the area of the triangle is 24cm2. 3 Vector Proofs. Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. Cosine Rule & Area of Triangles (AQA GCSE Maths) Flashcards 1/21. 21/08/2015. Worksheet Question Worksheet Answers Level 6-7 . The sine rule and cosine rule are trigonometric laws that are used to work out unknown sides and angles in any triangle. In the higher GCSE syllabus we learn about the sine rule, the cosine rule, a new formula for the area of a triangle and we apply trigonometry to 3D shapes. GCSE Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. Trigonometry Revision Videos Sine Rule, Cosine Rule and Area of a Triangle: Diagnostic Questions. Ship A leaves on a bearing of 062𝑜at 20kmper hour. Mr Barton's Quizzes; Awarding Bodies’ GCSE Quizzes; Exit Ticket; Questions GCSE exam questions on SINE and COSINE Rule. Sine & Cosine Rules: Questions. Questions With Clues. 1 cm. 10. Displaying all worksheets related to - Gcse Bearings With Sine And Cosine Rule. Now calculating angle Aˆ and Bˆ using the cosine rule, we have ()() 22 222 2 1 456 24 5 5 40 1 8 1 82. GCSE MATHS 2025: STAY UP TO DATE arrow_back Back to Sine Rule, Cosine Rule and Area of a Triangle Sine Rule, Cosine Rule and Area of a Triangle: Worksheets with Answers. Information The marks for each question are shown in brackets GCSE Maths Revision - Cosine Rule Questions Author: maths made easy Subject: gcse maths Keywords: aqa, gcse maths, edexcel, ocr, worksheets, revision, questions, practice, cosine rule Created Date: 10/16/2017 3:29:52 PM Everything you need to know about The Sine and Cosine Rules for the GCSE Mathematics Eduqas exam, totally free, with assessment questions, text & videos. This is for the GCSE higher maths course. x z { vm [1] Correct use of sine rule to find length ℎ= w y. The graph of the sine function. Section 1 of the cosine worksheet contains 36 skills-based sine and cosine rule questions, in 4 groups to support differentiation; Section 2 contains 3 applied sine and cosine rule questions with a mix of worded problems, deeper The Sine Rule, The Cosine Rule and The Area of any Triangle Revision Notes. Includes worksheets, activities and presentations. 5: Graphs of the Sine and Cosine Functions 5. See Figure \(\PageIndex{2}\). Previous: Sine Rule and Cosine Rule Practice Questions. Answer all questions. ; The function of \sin(\theta) can be described as a wave, namely the sine wave, with an amplitude of 1 Next: Sine Rule and Cosine Rule Practice Questions GCSE Revision Cards. Use the sine rule if you have two sets of opposite side/angle pairs. Remember, the law of cosines is all about included angle (or knowing 3 sides and wanting to find an angle). t hours is the number of hours after midday, A and k are constants. A Level Exam Papers. GCSE Exam question compilation on Distance-Time graphs, including deciding which rule to use, problems involving both sine rule and cosine rule, problems involving bearings, finding areas of compound Free exact trig values GCSE maths revision guide, including step by step examples, exam questions and free worksheet. The questions cover missing lengths, angles and values, and problems Revision notes on Sine & Cosine Rules for the Edexcel IGCSE Maths syllabus, written by the Maths experts at Save My Exams. Sine and Cosine Rules Following conversations on Twitter about teaching sine and cosine rules (and area of a non-right-angled triangle), I am pretty pleased with this lesson. A GCSE Maths Worksheet covering the sine and cosine rule. Maths revision video and notes on the topic of the Cosine Rule, trigonometry, finding missing angles and lengths of non right angled triangles. 3. Related Topics: More lessons for GCSE Maths Math Worksheets. Past papers Textbooks. 4. Trigonometry Sine Exam Style Questions - A collection of problems in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers). Lessons. This v The Sine and Cosine Rules Worksheet is highly useful as a revision activity at the end of a topic on trigonometric equations or for GCSE maths revision. Cosine Rule 2 - Worksheet and Worked Solution of Maths GCSE A and A* Key Objective Targeted Topics - Using sine and cosine rule. These types of questions appear in all the main GCSE exam boards – Edexcel, AQA, OCR and Educas – and are Solutions to Past Paper Questions – Sine and Cosine Rule 18) (a) Area = ½ × 7. A This video is about the cosine rule for GCSE maths, and is aimed at around grade 7+. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a-day Further Maths; More. It’s fairly tough and please do – stop the video – work through the question – compare your solution. 5-a-day GCSE 9-1; Exact trig. (6 marks) Diagram NOT accurately drawn 7. Sine and Cosine Rule Questions - MME Author: MME Keywords: MME Created Date: 3/20/2023 3:28:21 PM Free sine rule GCSE maths revision guide including step by step examples, and a free worksheet and exam questions. Sine & Cosine Rules Difficulty: Easy Time allowed: 26 minutes Score: /20 Percentage: /100 Applying the cosine rule to this question, work out the angle A, where a=5. January 2012, 4H Q18: 3 Marks A triangle has sides of length 4 cm, 6 cm and 8 cm. Each topic of the specification has its own worksheets with answers. Title: Sine and Cosine Rule MS - AQA GCSE Maths Created Date: 9/3/2021 2:46:37 PM Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. Learn A Level Maths Edexcel A Level Papers AQA A Level Papers OCR A Level Papers Questions and model answers on Sine, Cosine Rule & Area of Triangles for the OCR GCSE Maths syllabus, written by the Maths experts at Save My Exams. a 5. Suitable for all the big examination boards including AQA, Edexcel, OCR and WJEC. The questions cover missing lengths, angles and values, and problems Solution to question 4 First draw a diagram and label the sides. How high are you off the ground after 5 minutes? 130. Contains examples, exam style questions and worked solutions. PLEASE REVIEW / COMMENT. PhysicsAndMathsTutor. GCSE Revision. Find out how far he is away from his start point. Edexcel GCSE Maths - Sine Rule, Cosine Rule, Area of Any Triangle PhysicsAndMathsTutor. 35 × sin74° = 28. These review sheets are great to use in class or as a homework. 5-a-day Workbooks 3D Trigonometry. 1. I will also show you what the cosine rule is and how to calculate the volume of a prism. GCSE Mathematics: Sine and Cosine Rule Priority Learning Worksheet Name: Date: Question: 1 2 3 4 5 Total Marks: 5 3 3 6 5 22 Score: Aimsofthisworksheet: Sine & Cosine Rule Question Paper 4 Level . 14 cm Dlagram NOT accurately drawn 8 cm . Probing GCSE MATHS PRACTICE EXAM QUESTIONS - GEOMETRY TOPICS Upto Grade 1. Purposeful practice, lots of things to think about, clear explanations and examples with differentiated worksheets. In any \(\triangle ABC\): Video: 233G. 3 sin(𝑥) s t = sin( s w𝑜) y [1] Correct use of sine rule sin(𝑥)= s tsin( s w𝑜) y sin(𝑥)= s t( r. You can watch all the videos for this questi Comprehensive lesson on Sine & Cosine Rules for the GCSE Maths SQA5 specification. 18 Revise trigonometric ratios of sine, cosine and tangent and calculate angles in right-angled triangles with this Bitesize GCSE Maths Edexcel guide. The Corbettmaths Textbook Exercise on Sine Rule. Cosine rule. Suitable for GCSE Students sitting the 9 – 1, A-Level Maths students revision and some Key Stage 3 students. pdf, 1. 2. 8! Click here to read The Sine Rule. 5 cm 8. Use cosine rule to find c to 2 decimal places. The graph does not pass through the origin unlike the graphs for \sin(\theta) and \tan(\theta) ; The graph is continuous for both positive and negative values of \theta and has a period of 360^o (this means that the graph repeats every 360^o ). All questions are matched with their answers and the resource can be easily printed for work during a taught lesson. Learn A Level Maths Sine Rule . The depth of water at low tide was 3. Use sine rule to find z to 2 GCSE Exam question compilation on Distance-Time graphs, including deciding which rule to use, problems involving both sine rule and cosine rule, problems GCSE (1 – 9) The Sine Rule Name: _____ Instructions • Use black ink or ball-point pen. For past papers with model solutions, visit the GCSE Maths Papers page. More on this topic including lesson Starters, GCSE Maths Revision - Sine Rule Questions Author: maths made easy Subject: gcse maths Keywords: aqa, gcse maths, edexcel, ocr, worksheets, revision, questions, practice, sine rule Created Date: 10/16/2017 3:32:25 PM Click here for Questions. 3. uk. 2021 - added second set of questions on Bearings and Trigonometry, and a bearings homework Ten questions on Sine and Cosine Rules for Year 10 students. It consists of four sections that cover finding missing lengths and angles of triangles, completing a table using different methods, and solving problems related to bearings. Bearings and the cosine rule A LEVEL LINKS Scheme of work: 4a. { w { r [1] Calculation ∴ = t t. Here we will learn about 3D trigonometry including how to combine your knowledge of Pythagoras’ Theorem, Trigonometric Ratios, The Sine Rule and The Cosine Rule and apply it to find missing angles and sides of triangles in 3-dimensional shapes. 0 / 1. pdf, 3. Edexcel Exam Papers OCR Exam Papers AQA Exam Papers Eduqas Exam Papers. First Step $ \red a^2 = b^2 + c^2 - 2bc \cdot cos( \angle a ) \\ \red a^2 = 20^2 + 13^2 - 2\cdot 20 \cdot 13 \cdot cos( 66 ) $ 5 4 At 16:00 hours, two ships depart from Port Phasmatys. Builds a foundation for advanced maths and science The Sine and Cosine Rules Worksheet is highly useful as a revision activity at the end of a topic on trigonometric equations or for GCSE maths revision. 5 m. 8 ˆ ˆ cos 8 cos 2 bc A c A a b − +− = = = = = +− GCSE (1 -9) The Cosine Rule Instructions Use black ink or ball-point pen. I will explain to you how to use trigonometry and Pythagoras' theorem to calculate lengths. ℎ= t tm [1] Answer to the nearest meter Turn over #3minutemaths #SimonDeaconmathsThis video is a fairly challenging proving Cosine Rule for GCSE maths, and is aimed at around grade 7+. AQA GCSE Maths - Sine and Cosine Rule . Created Date: 5/13/2015 10:32:43 PM Maths revision video and notes on the topic of the Cosine Rule, trigonometry, finding missing angles and lengths of non right angled triangles. Welcome; Videos and Worksheets; Primary; 5-a-day. Each section contains a worked example, a question with hints and then questions for you GCSE (1 – 9) The Sine Rule Name: _____ Instructions • Use black ink or ball-point pen. GCSE (+ IGCSE) EXAM QUESTION PRACTICE. At the end of the arrow_back Back to Sine Rule, Cosine Rule and Area of a Triangle Sine Rule, Cosine Rule and Area of a Triangle: Worksheets with Answers. 1 Using Numbers. Information The marks for each question are shown in brackets The Corbettmaths Practice Questions on Exact Trig Values. 9cm2 (3sf) By sine rule in triangle ADC, By cosine rule, AB2 = 302 + 602 - 2 × 30 × 60 × cos 150 Sine & Cosine Rule Question Paper 11 Level . 8km before stopping. It works for any triangle: a, b and c are sides. Sine Rule 2 - use the Sine rule to find the missing angles (no ambiguous case) - 10 Questions. Learn and revise trigonometric ratios of sine, cosine and tangent and calculate angles and lengths in right-angled triangles with GCSE Bitesize AQA Maths. Revision notes on Sine & Cosine Rules for the Edexcel GCSE Maths syllabus, written by the Maths experts at Save My Exams. In this case, we have a side of length 11 opposite a known angle of $$ 29^{\circ} This is for the GCSE higher maths cour *At 5:36 it should say 29. This sheet covers The Cosine Rule and includes both one- and two-step problems. These functions are useful for finding the sides and angles of right-angled triangles. u { r s = t t. The three trigonometric ratios; sine, cosine and tangent are used to calculate angles and lengths in right Past paper questions by topic and topic tests with mark schemes for Edexcel Maths GCSE (9-1) Geometry and Measures. GCSE Sine & Cosine Rule (Mixed) 2 1 Line is parallel to line . Further Maths; GCSE Revision; Revision Cards; Books; Area of a Triangle (Sine) Practice Questions. fipxpn wsdm lvvss uszs wrfv gwpvxuy jdblpv zbegue cxbm bkzq