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JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Fundamental trigonometrical ratios and functions, Trigonometrical ratio of allied angles

  • question_answer
    The value of \[\sin 10{}^\circ +\sin 20{}^\circ +\sin 30{}^\circ +...+\] \[\sin 360{}^\circ \] is  [Pb. CET 2003]

    A) 1

    B) 0

    C) - 1

    D) None of these

    Correct Answer: B

    Solution :

    Since \[\sin 190{}^\circ =-\sin 10{}^\circ ,\ \sin 200{}^\circ =-\sin 20{}^\circ ,\] \[\sin 210{}^\circ =-\sin 30{}^\circ ,\ \sin 360{}^\circ =\sin 180{}^\circ =0\]etc.


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