Find the general solution of the equation $s i n m x + s i n n x = 0$

Or

Find the general solution of the equations $s i n 2 x + s i n 4 x + s i n 6 x = 0$

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Solution

$x = \frac{2 p - π}{m + n}$ or $x = \frac{(2 q + 1) π}{m - n}$ , where $p, q ϵ l$

$x = \frac{n π}{4}$ or $x = (m π \pm \frac{π}{3})$ , where $m, n ϵ l$

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