cosine rule questions Example Cosine rule to find a length Use the cosine rule to find the side length marked x to 1 dp 3 marks First we match up the information in the question to the letters in the formula a x A 44 degree b 5 and c 7 So we re ready to
Practice cosine rule questions 1 Use the cosine rule to find the length of x for triangle ABC Give your answer to 1decimal place 13 6cm 13 2cm 15 2 Find the length of x for triangle PQR Give your answer to 1 decimal place 10 2cm 5 8cm 8 3cm 10 5cm 3 Find the length of XY for triangle XYZ The Cosine Rule Instructions Use black ink or ball point pen Answer all questions Answer the questions in the spaces provided there may be more space than you need Diagrams are NOT accurately drawn unless otherwise indicated You must show all your working out Information The marks for each question are shown in brackets
cosine rule questions
cosine rule questions
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MEDIAN Don Steward Mathematics Teaching Cosine Rule
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GCSE Cosine Rule Questions And Answers
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Problem 1 A triangle has sides equal to 5 cm 10 cm and 7 cm Find its angles round answers to 1 decimal place Solution to Problem 1 Let us use the figure below and set a 10 cm b 7 cm and c 5 cm We now use cosine law to find the largest angle A a 2 b 2 c 2 2 b c cos A Substitute a b and c by their values and solve for cos A Sine and Cosine Rule Name Exam Style Questions Ensure you have Pencil pen ruler protractor pair of compasses and eraser You may use tracing paper if needed Guidance Read each question carefully before you begin answering it Don t spend too long on one question Attempt every question
Click here for Questions Textbook Exercise Previous Sine Rule Textbook Exercise Next Trigonometry Area of any Triangle Textbook Exercise The Corbettmaths Textbook Exercise on Cosine Rule Cosine rule is also called law of cosines or Cosine Formula Suppose a b and c are lengths of the side of a triangle ABC then a2 b2 c2 2bc cos x b2 a2 c2 2ac cos y c2 a2 b2 2ab cos z where x y and z are the angles between the sides of
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Answer c 6 67 How to Remember How can you remember the formula Well it helps to know it s the Pythagoras Theorem with something extra so it works for all triangles Pythagoras Theorem only for Right Angled Triangles a2 b2 c2 Law of Cosines for all triangles a2 b2 2ab cos C c2 So to remember it think abc a2 b2 c2 The Cosine Rule GCSE Revision Description This set of cosine rule questions includes some general warm questions before introducing some applied style problems There are questions involving bearings compound shapes and circle theorems
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G22b The Cosine Rule BossMaths
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