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The value of cos20° cos40° cos60° cos80°

Question

The value of cos20° cos40° cos60° cos80°

A 1/2 Correct Answer Incorrect Answer

B 1/4 Correct Answer Incorrect Answer

C 1/8 Correct Answer Incorrect Answer

D 1/16 Correct Answer Incorrect Answer

Solution

cosθ cos2θ cos4θ = 1/4cos3θ cos20° cos40° cos60° cos80° = 1/4cos20° × 3 × cos60° = 1/4cos60° × cos60° = 1/4 × 1/2 × 1/2 = 1/16

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