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WBJEE · Maths · Trigonometric Ratios & Identities

The value of \((1+\cos \pi / 6)(1+\cos \pi / 3)(1+\cos 2 \pi / 3)(1+\cos 7 \pi / 6)\) is

  1. A \(\frac{3}{16}\)
  2. B \(\frac{3}{8}\)
  3. C \(\frac{3}{4}\)
  4. D \(\frac{1}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(A) \(\frac{3}{16}\)

Step-by-step Solution

Detailed explanation

Hints : \(\left(1+\cos \frac{\pi}{6}\right)\left(1+\cos \frac{\pi}{3}\right)\left(1+\cos \frac{2 \pi}{3}\right)\left(1+\cos \frac{7 \pi}{6}\right)\)…