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  • Need clarity, kindly explain! - Trigonometry - JEE Main-4

What is the value of \cot ^{-1 } (-1) + \ tan ^{-1} (1) ?

  • Option 1)

    \pi

  • Option 2)

    \pi /2

  • Option 3)

    \pi /4

  • Option 4)

    none  of these 

 

Answers (1)

best_answer

As we have learned

Important Results of Inverse Trigonometric Functions -

\cot ^{-1}\left ( -x \right )= \pi - \cot ^{-1}x

-

 

 \cot ^{-1 } = \pi - \cot ^{-1 } 1 = \pi - \pi /4

\tan ^{-1} 1 = \pi / 4

 


Option 1)

\pi

Option 2)

\pi /2

Option 3)

\pi /4

Option 4)

none  of these 

Posted by

Himanshu

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