Use [tex]x^{2} - y^{2}[/tex] on LHS and then apply sin(x) + sin(y) and sin(x) - sin(y) formula on LHS. simplify and it leads to (1) sin(4x) = 0 (2) cos(6x) = 0 (3) sin(10x) = 0
Solve the three equations for x and you got your answer.
Answer = [tex]\frac{n \pi }{4} or \frac{n \pi }{10} or \frac{n \pi }{12}[/tex]
