Question 11 MarkThe principal value of $\cos ^{-1}\left(-\frac{1}{2}\right)$ is _________Answer$\frac{2 \pi}{3}$View full question & answer→
Question 21 MarkThe value of $\tan ^2\left(\sec ^{-1} 3\right)+\cot ^2\left(\operatorname{cosec}^{-1} 4\right)$ is. _______Answer23View full question & answer→
Question 31 Mark$\tan ^{-1}\left(\tan \frac{2 \pi}{3}\right)=$ __________Answer$-\frac{\pi}{3}$View full question & answer→
Question 41 MarkThe value of $\sin ^{-1}\left(\cos \frac{33 \pi}{5}\right)$ is. ________Answer$-\frac{\pi}{10}$View full question & answer→
Question 51 MarkThe value of $\tan \left[\cos ^{-1}\left\{\sin \left(\cot ^{-1} 1\right)\right\}\right]$ is. ________Answer1View full question & answer→
Question 61 MarkThe value of $\cos ^{-1}\left\{\sin \left(\cos ^{-1} \frac{1}{2}\right)\right\}$ is. _________Answer$\frac{\pi}{6}$View full question & answer→
Question 71 MarkIf $\tan ^{-1}\left(\frac{1}{\sqrt{3}}\right)+\cot ^{-1} x=\frac{\pi}{2}$, then $x=$ ________Answer$\frac{1}{\sqrt{3}}$View full question & answer→
Question 81 MarkThe range of $\sin ^{-1} x+\cos ^{-1} x+\tan ^{-1} x$ is _________Answer$\left[\frac{\pi}{4}, \frac{3 \pi}{4}\right]$View full question & answer→
Question 91 MarkThe value of $\sec ^2\left(\tan ^{-1} 2\right)+\operatorname{cosec}^2\left(\cot ^{-1} 3\right)$ is _______Answer15View full question & answer→
Question 101 MarkThe range of principal value branch of $y=\sec ^{-1} x$ is _________Answer$(-\infty,-1] \cup[1, \infty)$View full question & answer→