Inverse Trigonometric Functions

JEE Advanced · Mathematics · 17 past questions

1. Q1 2026 Paper 1

   Considering only the principal values of the inverse trigonometric functions, the value of…

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2. Q2 2025 Paper 2

   The total number of real solutions of the equation…

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3. Q3 2024 Paper 2

   Considering only the principal values of the inverse trigonometric functions, the value of…

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4. Q4 2023 Paper 1

   Let $\tan^{-1}(x) \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$, for $x \in \mathbb{R}$. Then the number of…

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5. Q5 2023 Paper 2

   For any $y\in\mathbb{R}$, let $\cot^{-1}(y)\in(0,\pi)$ and…

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6. Q6 2022 Paper 1

   Considering only the principal values of the inverse trigonometric functions, the value of…

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7. Q7 2021 Paper 1

   For any positive integer $n$, let $S_n:(0,\infty)\to\mathbb{R}$ be defined by…

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8. Q8 2019 Paper 2

   For non-negative integers $n$, let…

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9. Q9 2019 Paper 2

   The value of…

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10. Q10 2018 Paper 1

    The number of real solutions of the equation…

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11. Q11 2018 Paper 2

    For any positive integer $n$, define $f_n:(0,\infty)\to\mathbb{R}$ as…

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12. Q12 2015 Paper 2

    If $\alpha=3\sin^{-1}\left(\frac{6}{11}\right)$ and $\beta=3\cos^{-1}\left(\frac{4}{9}\right)$, where the…

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13. Q13 2014 Paper 1

    Let $f:[0,4\pi]\to[0,\pi]$ be defined by $f(x)=\cos^{-1}(\cos x)$. The number of points $x\in[0,4\pi]$…

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14. Q14 2013 Paper 1

    The value of $\cot\left(\sum_{n=1}^{23}\cot^{-1}\left(1+\sum_{k=1}^{n}2k\right)\right)$ is

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15. Q15 2013 Paper 2

    Match List I with List II and select the correct answer using the code given below the lists…

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16. Q16 2008 Paper 1

    If $0 < x < 1$, then…

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17. Q17 2007 Paper 2

    Let $(x, y)$ be such that…

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