JEE Main & Advanced Mathematics Inverse Trigonometric Functions Question Bank Inverse trigonometric functions

  • question_answer
    If \[\tan (x+y)=33\]and \[x={{\tan }^{-1}}3,\]then y will be

    A) \[0.3\]

    B) \[{{\tan }^{-1}}(1.3)\]

    C) \[{{\tan }^{-1}}(0.3)\]

    D) \[{{\tan }^{-1}}\left( \frac{1}{18} \right)\]

    Correct Answer: C

    Solution :

      \[x+y={{\tan }^{-1}}33\,\,\,\Rightarrow y={{\tan }^{-1}}33-{{\tan }^{-1}}3\] \[={{\tan }^{-1}}\frac{33-3}{1+99}={{\tan }^{-1}}\frac{30}{100}\]Þ \[y={{\tan }^{-1}}(0.3)\].


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