JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Trigonometrical ratios of sum and difference of two and three angles

  • question_answer
    \[\cos 20{}^\circ \cos 40{}^\circ \cos 80{}^\circ =\] [MP PET 1989]

    A) 1/2

    B) 1/4

    C) 1/6

    D) 1/8

    Correct Answer: D

    Solution :

    \[\cos {{20}^{o}}\cos {{40}^{o}}\cos {{80}^{o}}=\frac{\sin {{2}^{3}}{{20}^{o}}}{{{2}^{3}}\sin {{20}^{o}}}\]\[=\frac{\sin {{160}^{o}}}{8\sin {{20}^{o}}}=\frac{1}{8}\].


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