The value of cos(π/65) cos(2π/65) cos(4π/65) cos(8π/65) cos(16π/65)

Question

The value of cos\(\frac{\pi}{65}\) cos\(\frac{2\pi}{65}\) cos\(\frac{4\pi}{65}\) cos\(\frac{8\pi}{65}\) cos\(\frac{16\pi}{65}\) cos\(\frac{32\pi}{65}\) is

A. \(\frac{1}{8}\)

B. \(\frac{1}{16}\)

C. \(\frac{1}{32}\)

D. None of these

Answer 1

Correct answer is D.