Question: (a) By differentiating the double-angle formula cos 2x = cos 2 x - sin 2 x obtain the double-angle formula for the sine function. (b)

(a) By differentiating the double-angle formula cos 2x = cos²x - sin²x obtain the double-angle formula for the sine function.
(b) By differentiating the addition formula sin (x + a) = sin x cos a + cos x sin a obtain the addition formula for the cosine function.

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