a. Differentiate both sides of the identity cos 2t = cos 2 t - sin 2 t
Question:
a. Differentiate both sides of the identity cos 2t = cos2 t - sin2 t 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
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
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