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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1
If k=sin⁡π/18sin⁡5π′18sin⁡7π/18k=\sin \pi / 18 \sin 5 \pi^{\prime} 18 \sin 7 \pi / 18, then the numerical value of kk is equal to
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Correct option: C
1/81 / 8
Option C (1/81 / 8) is correct because it is obtained by using the product-to-sum trigonometric identities to simplify the expression.

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