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

  • question_answer
    If \[\sin x=\frac{-24}{25},\] then the value of \[\tan x\] is [UPSEAT 2003]

    A) \[\frac{24}{25}\]

    B) \[\frac{-24}{7}\]

    C) \[\frac{25}{24}\]

    D) None of these

    Correct Answer: B

    Solution :

    \[\cos x=\sqrt{1-{{\sin }^{2}}x}=\sqrt{1-{{\left( \frac{-24}{25} \right)}^{2}}}=\frac{7}{25}\] \[\Rightarrow \tan x=\frac{\sin x}{\cos x}=\frac{-24}{7}\].


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