AP EAMCET · Maths · Trigonometric Ratios & Identities
\(\cos \frac{2 \pi}{15} \cos \frac{4 \pi}{15} \cos \frac{8 \pi}{15} \cos \frac{14 \pi}{15}=\)
- A \(\frac{9}{16}\)
- B \(\frac{1}{8}\)
- C \(\frac{1}{16}\)
- D \(\frac{1}{24}\)
Answer & Solution
Correct Answer
(C) \(\frac{1}{16}\)
Step-by-step Solution
Detailed explanation
\( \cos \frac{14 \pi}{15} = \cos(\pi - \frac{\pi}{15}) = -\cos \frac{\pi}{15} \) \( \text{Expression} = -\left( \cos \frac{\pi}{15} \cos \frac{2 \pi}{15} \cos \frac{4 \pi}{15} \cos \frac{8 \pi}{15} \right) \)…
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