a. Express 1.5 sin 2x + 2 cos 2x in the form R sin (2x + ), where R > 0 and 0 <
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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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2
Authors: Greg Attwood, Jack Barraclough, Ian Bettison, David Goldberg, Alistair Macpherson, Joe Petran
1st Edition
1292183403, 978-1292183404
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