Q. Which one of the following is correct?
A) $\tan{1 > \tan^{- 1}1}$
B) $\tan{1 < \tan^{- 1}1}$
C) $\tan{1 = \tan^{- 1}1}$
D) None of these
Explanation
(a)
1 $rad$ > $45{^\circ}$
$\Rightarrow$ $\tan{1{^\circ} > \tan{45{^\circ} \Rightarrow \tan{1 > 1}}}$
Also, $\tan^{- 1}{1 = \frac{\pi}{4} < 1}$
Hence, $\tan{1 > \tan^{- 1}1}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.