a. Differentiate both sides of the identity cos 2t = cos 2 t - sin 2 t

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a. Differentiate both sides of the identity cos 2t = cos2 t - sint to prove that sin 2t = 2 sin t cos t.

b. Verify that you obtain the same identity for sin 2t as in part (a) if you differentiate the identity cos 2t = 2 cos2 t - 1.

c. Differentiate both sides of the identity sin 2t = 2 sin t cos t to prove that cos 2t = cos2 t - sin2 t.

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Related Book For  answer-question

Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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