Question

1+cosx=sinx+sinx*cosx

Answer 1

sinx(1+cosx)-(1+cosx)=0
(1-cosx)(sinx-1)=0
cosx=1⇒x=2πn
sinx=1⇒x=π/2+2πn

Answer 2

1+cosx=sinx+sinx*cosx
1+сosx=cosx+1
sinx+sinx cosx=(cosx+1)×sinx
cosx+1=(cosx+1)×sinx
2πn+π/2 ;2πn-π/2
Ответ:2πn+π/2 ;2πn-π/2