JEE Mains · Maths · STD 11 - 3. trignometrical ratios,functions and identities
\(2 \sin \left(\frac{\pi}{22}\right) \sin \left(\frac{3 \pi}{22}\right) \sin \left(\frac{5 \pi}{22}\right) \sin \left(\frac{7 \pi}{22}\right) \sin \left(\frac{9 \pi}{22}\right)\) is
- A \(\frac{3}{16}\)
- B \(\frac{1}{16}\)
- C \(\frac{1}{32}\)
- D \(\frac{9}{32}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{16}\)
Step-by-step Solution
Detailed explanation
\(2 \sin \frac{\pi}{22} \sin \frac{3 \pi}{22} \sin \frac{5 \pi}{22} \sin \frac{7 \pi}{22} \sin \frac{9 \pi}{22}\) \(=2 \sin \left(\frac{11 \pi-10 \pi}{22}\right) \sin \left(\frac{11 \pi-8 \pi}{22}\right) \sin \left(\frac{11 \pi-6 \pi}{22}\right)\)…
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