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

  • question_answer
    If \[A=130{}^\circ \]and \[x=\sin A+\cos A,\]then [CET 1989]

    A) \[x>0\]

    B) \[x<0\]

    C) \[x=0\]

    D) \[x\le 0\]

    Correct Answer: A

    Solution :

    \[x=\cos 40{}^\circ +\cos 130{}^\circ =2\cos 85{}^\circ \cos 45{}^\circ >0\].


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