JEE MAINS PRACTICE · Mathematics
Inverse Trigonometric Functions
393 practice questions for JEE Mains Practice — 197 easy · 176 medium · 20 hard. Every question is graded instantly with a step-by-step solution when you miss it.
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MCQ
If \(\sin \left(\cot ^{-1}(1+\mathrm{x})\right)=\cos \left(\tan ^{-1} \mathrm{x}\right)\),$ then $\(\mathrm{x}=\)
MCQ
If $\sin ^{-1} x+\cot ^{-1}\left(\frac{1}{2}\right)=\frac{\pi}{2}$, then value of $x$ will be
MCQ
If $x=\sin \left(2 \tan ^{-1} 2\right), y=\sin \left(\frac{1}{2} \tan ^{-1} \frac{4}{3}\right)$, then
MCQ
$\cos ^{-1} x+\cos ^{-1} y=2 \pi$, then the value of $\sin ^{-1} x+\sin ^{-1} y$ is equal to
MCQ
If $\theta=\sin ^{-1} x+\cos ^{-1} x-\tan ^{-1} x, \quad 1 \leq x \lt \infty$, then the smallest interval in which $\theta$ lies is
MCQ
The interval for which $2 \tan ^{-1} x+\sin ^{-1} \frac{2 x}{1+x^2}$ is independent of $x$ is
MCQ
If $\tan \left(\sec ^{-1} x\right)=\sin \left(\cos ^{-1} \frac{1}{\sqrt{5}}\right)$, then $x$ is equal to
MCQ
$\cos ^{-1}\left\{\cos 2 \cot ^{-1}(\sqrt{2}-1)\right\}$ is equal to
MCQ
The value of $\cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right)$ is equal to
MCQ
$2 \tan ^{-1}\left(\operatorname{cosec} \tan ^{-1} x-\tan \cot ^{-1} x\right)$ is equal to
MCQ
The value of $\cos ^{-1}\left(\cos \frac{7 \pi}{6}\right)$ is
MCQ
If $\cos ^{-1} p+\cos ^{-1} q+\cos ^{-1} r=3 \pi$, then $p^2+q^2+r^2+2 p q r$ is equal to