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Trigonometric Identities

Solve: sin 2...

Question

Solve:
$sin 2 x - sin 4 x = 0$

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Solution

$sin 2 x - sin 4 x = 0 sin 2 x = sin 4 x sin 2 x = 2 sin 2 x cos 2 x sin 2 x = 0 x = 0 1 = 2 cos 2 x cos 2 x = \frac{1}{2} cos 2 x = cos \frac{π}{3} x = \frac{π}{6}$

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