Prove each of these identities a cos 2 x sin 2 x 2 cos 2 x 1 b cos 2 x sin 2 x 1 2 sin 2 x c cos 4 x sin 2 x cos 2 x cos 2 x d 2(1 cos x) (1 cos x) 2 sin 2 x e 2 (sin x cos x) 2 (sin x cos x) 2 f cos 4 x sin 2 x sin 4 x cos 2 x ...

a We can start by using the identity cosx 1 sinx cosx sinx ...

Prove each of these identities. a. cos 2 x sin 2 x = 2 cos 2

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Prove each of these identities.

a. cos² x – sin² x = 2 cos² x – 1

b. cos² x – sin² x = 1 – 2 sin² x

c. cos⁴ x + sin² x cos² x = cos² x

d. 2(1 + cos x) – (1 + cos x)² = sin² x

e. 2 – (sin x + cos x)² = (sin x – cos x)²

f. cos⁴ x + sin² x = sin⁴ x + cos² x

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

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Prove each of these identities. a. cos 2 x sin 2 x = 2 cos 2

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Cambridge IGCSE And O Level Additional Mathematics Coursebook

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