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Inverse Trigonometric Functions

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2025
Let $\mathrm{S}=\left\{x: \cos ^{-1} x=\pi+\sin ^{-1} x+\sin ^{-1}(2 x+1)\right\}$. Then $\sum_{x \in \mathrm{~S}}(2 x-1)^2$ is equal to ______.
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Q JEE MAIN 2025
$\cos \left( {{{\sin }^{ - 1}}\frac{3}{5} + {{\sin }^{ - 1}}\frac{5}{{13}} + {{\sin }^{ - 1}}\frac{{33}}{{65}}} \right)$ is equal to:
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If for some $\alpha ,\beta ;\alpha \le \beta ,\alpha + \beta = 8$ and $...
JEE Main Mathematics Easy
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Q JEE MAIN 2025
If $\frac{\pi }{2}\le x\le \frac{{3\pi }}{4}$ , then ${{\cos }^{{-1}}}\left( {\frac{{12}}{{13}}\cos x+\frac{5}{{13}}\sin x} \right)$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2025
Using the principal values of the inverse trigonometric functions, the sum of the maximum and the minimum values of $16\left(\left(\sec ^{-1} x\right)^2+\left(\operatorname{cosec}^{-1} x\right)^2\right)$ is :
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