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List of top Mathematics Questions on Inverse Trigonometric Functions

Find the principal value $tan^{-1}\left(-\sqrt{3}\right) + sec^{-1}\left(-2\right)-cosec^{-1}\left(\frac{2}{\sqrt{3}}\right)$
Find the principal value $sec^{-1} (2)$
Find the principal value $\sin^{-1}\left(\frac{-1}{2}\right)$
Find the principal value $tan^{-1} \, (-1)$
Find the principal value $cos^{-1} \left(\frac{1}{2}\right)$
Find the principal value $cot^{-1} (1)$
Find the principal value $cot^{-1} \, \left(\sqrt{-3}\right)$
Domain of $cos^{-1}\, [x]$ is
$\cot^{-1} (2 + \sqrt{3}) = $
$cot\left(cosec^{-1} \frac{5}{3} + tan^{-1} \frac{2}{3}\right) = $
$cot\left(\frac{\pi}{4}-2\,cot^{-1}\,3\right) = $
$\cos\left(\sin^{-1} \frac{5}{13}\right) = $
$cos[tan^{-1}\{sin(cot^{-1}x)\}]$ is equal to
$\cos^{-1} ( \frac{\sqrt{5} -1}{4} ) = $
$\cos^{-1}(\cos\,x)=x$ is satisfied by
$5\,\cos^{-1}\left(\frac{1-x^2}{1+x^2}\right) +7\,\sin^{-1}\left(\frac{2x}{1+x^2}\right)-4\,\tan^{-1}\left(\frac{2x}{1+x^2}\right)-\tan^{-1}x=5\pi$ , then x is equal to
$4\,tan^{-1} \frac{1}{5} -tan^{-1} \frac{1}{70} + tan^{-1} \frac{1}{99}$ is equal to
$3\,\tan^{-1}a$ is equal to
What is the value of $\tan^{-1} \left(\frac{m}{n}\right) - \tan^{-1} \left(\frac{m-n}{m+n}\right) ? $
The number of positive integral solutions of the equation $\tan^{-1} x + \cot^{-1} y = \tan^{-1} 3 , $ is
The value of $\cos \left(\frac{1}{2} \cos^{-1} \frac{1}{8}\right) $ is equal to
In a $\Delta ABC$, if $A = tan^{-1}\, 2$ and $B = tan^{ -1}\, 3$ , then $C =$
$sin^{-1}\left(\frac{1}{\sqrt{e}}\right)> tan^{-1}\left(\frac{1}{\sqrt{\pi}}\right) $ $sin^{-1}\,x>tan^{-1}\,y$ for $x>y, \forall \,x, y \,\in\left(0, 1\right)$
The value of $cot^{-1}\left\{\frac{\sqrt{1-sin\,x}+\sqrt{1+sin\,x}}{\sqrt{1-sin\,x}-\sqrt{1+sin\,x}}\right\}\left(0 < x < \frac{\pi}{2}\right)$ is

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