Cos(П/2-х)-sin3x+sin5x=0

Question

Cos(П/2-х)-sin3x+sin5x=0

Answer 1

Cos(п/2-х)-sin3x+sin5x=0
sinx-sin3x+sin5x=0
2sin(x+5x/2)cos(x-5x/2)-sin3x=0
2sin3x*cos2x-sin3x=0
sin3x(2cos2x-1)=0
sin3x=0
3x=Пn,n€z
x=пn/3,n€z
2cos2x-1=0
cos2x=1/2
2x=+-п/3+2пn,n€z
x=+-п/6+пn,n€z