Question

Cos(3/2p-2a)tg(p-a)+sin(p/2+2a)
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Answer 1

$cos( frac{3 pi }{2}-2 alpha )tg( pi - alpha )+sin( frac{ pi }{2}+2 alpha )= sin2 alpha tg alpha +cos2 alpha = \ =2sin alpha cos alpha tg alpha +cos2 alpha =2sin^2 alpha +cos^2 alpha -sin^2a=sin^2 alpha +cos^2 alpha =1$