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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 \[\cos x+{{\cos }^{2}}x=1,\]then the value of \[{{\sin }^{2}}x+{{\sin }^{4}}x\] is

    A) 1

    B) -1

    C) 0

    D) 2

    Correct Answer: A

    Solution :

    \[\cos x+{{\cos }^{2}}x=1\,\,\Rightarrow \,\,\cos x={{\sin }^{2}}x\] \[\therefore \,\,{{\sin }^{2}}x+{{\sin }^{4}}x=\cos x+{{\cos }^{2}}x=1\].


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