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JEE MATHEMATICS MCQ: MULTIPLE AND SUBMULTIPLE ANGLES

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Application +4 | -1
sin⁡4  π8+sin⁡4  3 π8+sin⁡4  5 π8+sin⁡4  7π8  {\sin ^4}\,\,\frac{\pi }{8} + {\sin ^4}\,\,\frac{{3\,\pi }}{8} + {\sin ^4}\,\,\frac{{5\,\pi }}{8} + {\sin ^4}\,\,\frac{{7\pi }}{8}\; is equal to
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Correct option: B
3 / 2\mathrm{3}\,\mathrm{/}\,\mathrm{2}
Option B (3/2) is correct because the given trigonometric expression simplifies to 3/2 using trigonometric identities and properties.

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