Sin(x)+sin(2*x) = cos(x)+2*cos(x)^2,x

Question

Sin(x)+sin(2*x) = cos(x)+2*cos(x)^2,x

Answer 1

sin(x)+sin(2*x) = cos(x)+2*cos(x)^2,x

sin + 2cossin=cos+2cos^2

sin(1+2cos)=cos(1+2cos)

sin=cos|:cos

tg=1

x=pi/4 + pi*n