Sin10x-cos3x=0 тригонометрический уравнение

Sin10x-sin(π/2-3x)=0
2sin(13x/2-π/4)cos(7x/2+π/4)=0
sin(13x/2-π/4)=0⇒13x/2-π/4=πn⇒13x/2=π/4+πn⇒x=π/26+2πn/13
cos(7x/2+π/4)=0⇒7x/2+π/4=π/2+πn⇒7x/2=π/4+πn⇒x=π/14+2πn/7