Question

sin 5x+sinx+2sin(^2)x=1

Answer 1

2cos2xcos3x=1-2sin^2x 
2cos2xcos3x=cos2x 
cos2x(2cos3x-1)=0 

cos2x=0 или cos3x = 1/2  
2x=pi/2+pi*n 
x=pi/4+pi*n/2

или
3x=+-pi/3+2pi*n  
x=+-pi/9+2pi*n/3