Question

sin2x -2cosx = sinx -1 решите уравнения

Answer 1

2sinxcosx-2cosx-(sinx-1)=0
2cosx(sinx-1)-(sinx-1)=0
(sinx-1)(2cosx-1)=0
sinx=1⇒x=π/2+2πn
cosx=1/2⇒x=+-ππ/3+2πn