Evaluate : 2 sin 75° sin 15°

2 \sin 75 \sin 15 = 2 \sin (90 - 15) \sin 15 = 2 \cos 15 \sin 15 [Using the formula \sin [90 - x] = cosx and \sin 2 x = 2 sinxcosx] = \sin [2 \times 15] = \sin 30 = \frac{1}{2}

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