The value of 14 3 14 5 14 7 14 9 14 11 14 13 14 is equal to
Mathematics · JEE Main · NTA Exams — Trigonometry
The value of
\(\sin \frac{\pi}{14} \cdot \sin \frac{3 \pi}{14} \cdot \sin \frac{5 \pi}{14} \cdot \sin \frac{7 \pi}{14} \cdot \sin \frac{9 \pi}{14} \cdot \sin \frac{11 \pi}{14} \cdot \sin \frac{13 \pi}{14}\)
is equal to
\(\sin \frac{\pi}{14} \cdot \sin \frac{3 \pi}{14} \cdot \sin \frac{5 \pi}{14} \cdot \sin \frac{7 \pi}{14} \cdot \sin \frac{9 \pi}{14} \cdot \sin \frac{11 \pi}{14} \cdot \sin \frac{13 \pi}{14}\)
is equal to
- 1
- \(\frac{1}{16}\)
- \(\frac{1}{64}\)
- none of these
Answer
(C) 1 64
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