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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 \[\sin \theta =\frac{24}{25}\]and \[\theta \] lies in the second quadrant, then \[\sec \theta +\tan \theta =\]        [MP PET 1997]

    A) - 3

    B) - 5

    C) - 7

    D) - 9

    Correct Answer: C

    Solution :

    \[\sin \theta =\frac{24}{25}\Rightarrow \cos \theta =\frac{-7}{25},\,\tan \theta =\frac{-24}{7}\] \[\cos A\cos B=\frac{1}{5}\]\[\sec \theta +\tan \theta =\frac{-25}{7}+\frac{-24}{7}=-7\]


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