Question

Пожалуйста помогите решить​

Answer 1

$\frac{-Cos(16\pi+x)*Sin(x-\frac{\pi }{2})}{1-Cos(5,5\pi-x)}-Cos(7,5\pi -x) =\\\\=\frac{-Cosx*(-Cosx)}{1-Cos[6\pi-(0,5\pi+x)]} -Cos[8\pi-(0,5\pi+x)]=\\\\=\frac{Cos^{2}x }{1-Cos(0,5\pi+x) }-Cos(0,5\pi+x)=\frac{Cos^{2}x }{1+Sinx} +Sinx=\\\\=\frac{Cos^{2}x+Sinx+Sin^{2}x}{1+Sinx} =\frac{(Sin^{2}x+Cos^{2}x)+Sinx}{1+Sinx}=\frac{1+Sinx}{1+Sinx}=\boxed1$