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Prove that: cos(2π/15) cos(4π/15) cos(8π/15) cos(16π/15) = 1/16

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Prove that:

cos\(\frac{2\pi}{15}\) cos\(\frac{4\pi}{15}\) cos\(\frac{8\pi}{15}\) cos\(\frac{16\pi}{15}\) = \(\frac{1}{16}\)

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To prove:  cos\(\frac{2\pi}{15}\) cos\(\frac{4\pi}{15}\) cos\(\frac{8\pi}{15}\) cos\(\frac{16\pi}{15}\) = \(\frac{1}{16}\)

Proof:

Take LHS:

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