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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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The value of sin⁡  15 π32  sin⁡  7π16  sin⁡  3 π8\sin \,\,\frac{{15\,\pi }}{{32}}\,\,\sin \,\,\frac{{7\pi }}{{16}}\,\,\sin \,\,\frac{{3\,\pi }}{8} is
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Correct option: A
18 2  cos⁡  (15π32)\frac{1}{{8\,\sqrt 2 \,\,\cos \,\,\left( {\frac{{15\pi }}{{32}}} \right)}}
Option A (182cos⁡(15π32)\frac{1}{{8\sqrt 2 \cos \left( {\frac{{15\pi }}{{32}}} \right)}}) is correct because it is derived by repeatedly applying the double angle formula for sine.

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