2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Inverse Trigonometric Functions

JEE Main & Advanced Mathematics Inverse Trigonometric Functions Question Bank Self Evaluation Test - Inverse Trigonometric Functions

  • question_answer
    Let \[a,b,c>0\] and \[x={{\tan }^{-1}}\sqrt{\frac{a}{bc}(a+b+c),}\] \[y={{\tan }^{-1}}\sqrt{\frac{b}{ca}(a+b+c)}\] and\[z={{\tan }^{-1}}\sqrt{\frac{c}{ab}(a+b+c)}\], then

    A) \[\Sigma \tan x\tan y=1\]

    B) \[\Sigma \cot x\cot y=1\]

    C) \[\Sigma x=\frac{\pi }{2}\]

    D) None of these

    Correct Answer: B

    Solution :

    [b] \[x+y+z=\pi \]


You need to login to perform this action.
You will be redirected in 3 sec spinner