Решите уравнение sin(p - 3/4x) - sin(3p/2 - 3/4x)=0

[latex]sin( \pi - \frac{3}{4}x)-sin( \frac{3 \pi }{2}- \frac{3}{4} x)=0 [/latex] [latex]sin \frac{3}{4}x+cos \frac{3}{4}x=0 [/latex] [latex] \sqrt{2} ( \frac{1}{ \sqrt{2} } sin \frac{3}{4} x+ \frac{1}{ \sqrt{2} } cos \frac{3}{4}x )=0[/latex] [latex] \frac{1}{ \sqrt{2} } sin \frac{3}{4} x+ \frac{1}{ \sqrt{2} } cos \frac{3}{4}x =0[/latex] [latex]cos \frac{ \pi }{4} sin \frac{3}{4} x+sin \frac{ \pi }{4} cos \frac{3}{4} x=0[/latex] [latex]sin( \frac{3}{4} x+ \frac{ \pi }{4} )=0[/latex] [latex] \frac{3}{4}x+ \frac{ \pi }{4} = \pi k,[/latex] k∈Z [latex] \frac{3}{4}x=- \frac{ \pi }{4} + \pi k,[/latex] k∈Z [latex]x=- \frac{ \pi }{3}+ \frac{4 \pi }{3}k, [/latex] k∈Z