Question

sin4x + sinx = sin3x + sin2x

Answer 1

$sin4x+sinx=sin3x+sin2x \ 2* sinfrac{4x+x}{2}*cos frac{4x-x}{2} =2*sin frac{3x+2x}{2}*cos frac{3x-2x}{2} \ sin 2,5x*cos1,5x = sin2,5x*cos0,5x \ cos1,5x=cos0,5x \ x= pi*n$
n∈Z