Question

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Answer 1

$frac{Cos2 alpha -2Sin alpha -1}{Sin alpha +1} +Cos( frac{3 pi }{2} + alpha )= frac{Cos ^{2} alpha -Sin ^{2} alpha -2Sin alpha -Sin ^{2} alpha -Cos ^{2} alpha }{Sin alpha +1}+$$+Sin alpha = frac{-2Sin ^{2} alpha -2Sin alpha }{Sin alpha +1} +Sin alpha = frac{-2Sin alpha (Sin alpha +1)}{Sin alpha +1}+Sin alpha =$$=-2Sin alpha +Sin alpha =-Sin alpha$