JEE Main & Advanced Mathematics Trigonometric Identities Question Bank Trigonometrical ratios of multiple and sub multiple angles

  • question_answer
    \[1-2{{\sin }^{2}}\left( \frac{\pi }{4}+\theta  \right)=\]

    A) \[\cos 2\theta \]

    B) \[-\cos 2\theta \]

    C) \[\sin 2\theta \]

    D) \[-\sin 2\theta \]

    Correct Answer: D

    Solution :

    \[1-2{{\sin }^{2}}\left( \frac{\pi }{4}+\theta  \right)=\cos \left( \frac{\pi }{2}+2\theta  \right)=-\sin 2\theta \].


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