Prove each of these identities a (sin x cos x) 2 1 2 sinxcosx b 2(1 cos x) (1 cos x) 2 sin 2 x c 2 (sin x cos x) 2 (sin x cos x) 2 d (cos 2 x 2) 2 3sin 2 x cos 4 x sin 2 x ...

a Starting with the lefthand side sin x cos x2 sin2x 2sinxcosx cos2x 1 2sinxcosx using the identity ...

Prove each of these identities. a. (sin x + cos x) 2 1 + 2 sinxcosx

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Prove each of these identities.
a. (sin x + cos x)²≡ 1 + 2 sinxcosx

b. 2(1 + cos x) − (1 + cos x)² ≡ sin²x

c. 2 − (sin x + cos x)² ≡ (sin x − cos x)²

d. (cos²x − 2)² − 3sin² x ≡ cos⁴x + sin²x

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Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

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Question Posted: Mar 10, 2023 06:37 AM

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Prove each of these identities. a. (sin x + cos x) 2 1 + 2 sinxcosx

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a Starting with the lefthand side sin x cos x2 sin2x 2sinxcosx cos2x 1 2sinxcosx using the identity ...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

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