JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

The value of

\cos \frac{2 \pi}{15} \cos \frac{4 \pi}{15} \cos \frac{8 \pi}{15} \cos \frac{16 \pi}{15}

View answer and explanation

Correct option: A

\frac{1}{16}

Option A (

\frac{{1}}{{16}}

) is correct because the given expression simplifies to

\frac{{1}}{{16}}

by repeatedly using the identity

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

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\left( {x,\,y} \right)

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\mathrm{X}

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