a Using the identity cos (A B) cos A cos B sin A sin B, show that cos 2A cos 2 A sin 2 A b Hence show that i cos 2A 2 cos 2 A 1 ii cos 2A 1 2 sin 2 A ...

a cos 2A cos A cos A sin Asin A cos A sin A ...

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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Question Posted: Aug 11, 2023 07:12 AM

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

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Pearson Edexcel A Level Mathematics Pure Mathematics Year 2

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