Solve the following equation:
$sin 3 x + sin x = sin 2 x$

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Solution

$sin 3 x + sin x = sin 2 x$
$2 sin 2 x cos x = sin 2 x$
So, $sin 2 x = 0$
$2 x = n π$
$x = \frac{n}{2} π .$
or, $cos x = \frac{1}{2}$
$x = 2 n π \pm \frac{π}{3} .$

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