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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 \[\cos (270{}^\circ +\theta )\,\cos (90{}^\circ -\theta )-\sin (270{}^\circ -\theta )\,\cos \theta \] is [Karnataka CET 2005]

    A) 0

    B) -1

    C) 1/2

    D) 1

    Correct Answer: D

    Solution :

    \[\cos (270+\theta )\cos (90-\theta )-\sin (270-\theta )\cos \theta \] \[=\sin \theta .\sin \theta +\cos \theta .\cos \theta =1\].


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