Inverse Trigonometric Functions

JEE Main · Mathematics · 5 past questions

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1. Q1 2026 5 Apr Shift 1

   If $\frac{\pi}{4}+\sum_{p=1}^{11}\tan^{-1}\left(\frac{2^{p-1}}{1+2^{2p-1}}\right)=\alpha$, then $\tan\alpha$…

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2. Q2 2026 6 Apr Shift 1

   Let $[\cdot]$ denote the greatest integer function. If the domain of the function…

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3. Q3 2026 6 Apr Shift 1

   Let $0<\alpha<1, \beta=\frac{1}{3\alpha}$ and $\tan^{-1}(1-\alpha)+\tan^{-1}(1-\beta)=\frac{\pi}{4}$. Then…

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4. Q4 2026 6 Apr Shift 2

   If $\sin(\tan^{-1}(x\sqrt{2})) = \cot(\sin^{-1}\sqrt{1-x^2})$, $x \in (0, 1)$, then the value of $x$ is…

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