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Find the value of x, if sin 3x = 2 sin 30° cos 30° - Mathematics

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Question

Find the value of x, if sin 3x = 2 sin 30° cos 30°

Sum
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Solution

sin 3x = 2 sin 30° cos 30°

sin 3x = `2(1/2)(sqrt3/2)`

sin 3x = `sqrt3/2 = sin60^circ`

3x = 60°

Hence, x = 20°

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