JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1

The value of

16 \cos \left(\frac{2 \pi}{15}\right) \cdot \cos \left(\frac{4 \pi}{15}\right) \cos \left(\frac{8 \pi}{15}\right) \cdot \cos \left(\frac{16 \pi}{15}\right)

View answer and explanation

Correct option: A

Option A (1) is correct because the expression can be simplified using the identity

2 \sin x \cos x = \sin 2x

repeatedly.

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