a. Using the identity cos (A + B) cos A cos B sin A sin

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a. Using the identity cos (A + B) ≡ cos A cos B − sin A sin B, show that cos 2A ≡ cos2 A − sin2 A.

b. Hence show that:

i. cos 2A ≡ 2 cos2 A − 1

ii. cos 2A ≡ 1 − 2 sin2 A

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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

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