Write $\cot ^{-1}\left(\frac{1}{\sqrt{x^{2}-1}}\right), x>1$ in the simplest form.
- A$\sec ^{-1} x$
- B$cosec ^{-1} x$
- C$\tan ^{-1} x$
- D$\cot ^{-1} x$
Explore More
Similar Questions
$\tan^{-1} \frac{x}{\pi} < \frac{\pi}{3}, x \in N$,then the maximum value of $x$ is :-
Difficult
View SolutionIf $y = \tan^{-1} \left[ \sqrt{\frac{1 + \cos(x/2)}{1 - \cos(x/2)}} \right]$,then $\frac{dy}{dx} = $
Find the value of $\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)$.
Medium
View SolutionThe value of $\tan ^{-1}\left(\tan \frac{7 \pi}{6}\right)$ is
$\sin ^{-1}\left[\cos \left(\sin ^{-1} \frac{\sqrt{3}}{2}\right)\right]=$ . . . . . . .
Vedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo