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

  • question_answer
    \[\cos A+\sin (270{}^\circ +A)-\sin (270{}^\circ -A)+\cos (180{}^\circ +A)=\] [MP PET 1990]

    A) -1

    B) 0

    C) 1

    D) None of these

    Correct Answer: B

    Solution :

    \[\cos A+\sin (270{}^\circ +A)-\sin (270{}^\circ -A)+\cos (180{}^\circ +A)\]   =\[\cos A-\cos A+\cos A-\cos A=0\].


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