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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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The value of (1+cos⁡π8)(1+cos⁡3π8)\left(1+\cos \frac{\pi}{8}\right)\left(1+\cos \frac{3 \pi}{8}\right) (1+cos⁡5π8)(1+cos⁡7π8)\left(1+\cos \frac{5 \pi}{8}\right)\left(1+\cos \frac{7 \pi}{8}\right) is
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Correct option: C
18\frac{1}{8}
Option C (18\frac{1}{8}) is correct because using trigonometric identities, the expression simplifies to 18\frac{1}{8}.

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