Question

Помогите пожалуйста, срочно надо

Answer 1

$\frac{Cos\alpha }{1+Sin\alpha } +\frac{1+Sin\alpha }{Cos\alpha }=\frac{Cos^{2}\alpha+(1+Sin\alpha)^{2}}{Cos\alpha(1+Sin\alpha)}=\frac{Cos^{2}\alpha+1+2Sin\alpha+Sin^{2}\alpha}{Cos\alpha(1+Sin\alpha)}=\frac{1+1+2Sin\alpha }{Cos\alpha(1+Sin\alpha)}=\frac{2+2Sin\alpha }{Cos\alpha(1+Sin\alpha)}=\frac{2(1+Sin\alpha )}{Cos\alpha(1+Sin\alpha)}=\frac{2}{Cos\alpha} =2sec\alpha$