a. Express 1.5 sin 2x + 2 cos 2x in the form R sin (2x + ), where R >


a. Express 1.5 sin 2x + 2 cos 2x in the form R sin (2x + α), where R > 0 and 0 < α < π/2 , giving your values of R and α to 3 decimal places where appropriate.

b. Express 3 sin x cos x + 4 cos2 x in the form a sin 2x + b cos 2x + c, where a, b and c are constants to be found.

c. Hence, using your answer to part a, deduce the maximum value of 3 sin x cos x + 4 cos2 x.

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Related Book For  answer-question

Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

ISBN: 9781292183404

1st Edition

Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran

Question Details
Chapter # 7
Section: Mixed exercise
Problem: 18
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Question Posted: August 12, 2023 05:22:33