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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