Question: a. (cos 2 x=2 cos ^{2} x-1). b. (sin 3 x=A sin ^{3} x+B sin x), for what values of (A) and (B) ? c.

a. \(\cos 2 x=2 \cos ^{2} x-1\).

b. \(\sin 3 x=A \sin ^{3} x+B \sin x\), for what values of \(A\) and \(B\) ?

c. \(\sec \theta+\tan \theta=\tan \left(\frac{\theta}{2}+\frac{\pi}{4}\right)\).

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