Which of the following is correct?

  • Option 1)

    tan1>tan^{-1}1

  • Option 2)

    tan1<tan^{-1}1

  • Option 3)

    tan1=tan^{-1}1

  • Option 4)

    None of the above

 

Answers (1)
V Vakul

 

Important Results of Inverse Trigonometric Functions -

\tan ^{-1}\left ( \tan \Theta \right )= \Theta

- wherein

if \frac{-\pi }{2}< \Theta < \frac{\pi }{2}

 

 \tan 1=\tan 56^{\circ}(>1)

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

=\frac{3.14}{4}=0.7503

By Graph

\tan >\tan ^{-1}x

So x=1

\tan1 >\tan ^{-1}1


Option 1)

tan1>tan^{-1}1

Option is Correct

Option 2)

tan1<tan^{-1}1

Option is incorrect

Option 3)

tan1=tan^{-1}1

Option is incorrect

Option 4)

None of the above

Option is incorrect

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