Prove each of these identities. a. (sin x + cos x) 2 1 + 2 sinxcosx
Question:
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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a Starting with the lefthand side sin x cos x2 sin2x 2sinxcosx cos2x 1 2sinxcosx using the identity ...View the full answer
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Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
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