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

  • question_answer
    If \[\sin \theta +\cos \theta =1\], then \[\sin \theta \cos \theta =\] [Karnataka CET 1998]

    A) 0

    B) 1

    C) 2

    D) 1/2

    Correct Answer: A

    Solution :

    \[\sin \theta +\cos \theta =1\] Squaring on both sides, we get \[\Rightarrow {{\sin }^{2}}\theta +{{\cos }^{2}}\theta +2\sin \theta \cos \theta =1\] \[\therefore \sin \theta \cos \theta =0\].


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