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

  • question_answer
    \[\sin (\pi +\theta )\sin (\pi -\theta )\,\text{ cose}{{\text{c}}^{2}}\theta =\] [EAMCET 1980]

    A) 1

    B) \[1\]

    C) \[\sin \theta \]

    D) \[-\sin \theta \]

    Correct Answer: B

    Solution :

    \[\sin (\pi +\theta )\sin (\pi -\theta )\text{cose}{{\text{c}}^{2}}\theta \]\[=-\sin \theta \sin \theta \frac{1}{{{\sin }^{2}}\theta }=-1\].


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