Inverse Trigonometric Functions

CBSE Class 12 · Mathematics · 13 past questions

1. Q1 2026

   If $2\cos^{-1}x = y$, then

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2. Q2 2026

   Simplify : $\tan^{-1}\left(\dfrac{\cos 2x - \sin 2x}{\cos 2x + \sin 2x}\right)$, $0 < x < \dfrac{\pi}{4}$.

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3. Q3 2026

   The domain of $f(x) = \cos^{-1}(2x - 5)$ is…

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4. Q4 2026

   Find the value of $\sin\left[\cot^{-1}\sqrt{2}\,(\cos(\tan^{-1} 1))\right]$.

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5. Q5 2025

   Evaluate : $\tan^{-1}\left[2\sin\left(2\cos^{-1}\dfrac{\sqrt{3}}{2}\right)\right]$

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6. Q6 2025

   If $y = \sin^{-1}x,\ -1 \le x \le 0$, then the range of $y$ is

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7. Q7 2025

   The principal value of $\sin^{-1}\left(\sin\left(-\frac{10\pi}{3}\right)\right)$ is…

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8. Q8 2025

   Simplify $\sin^{-1}\left(\frac{x}{\sqrt{1+x^2}}\right)$.

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9. Q9 2024

   Evaluate…

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10. Q10 2024

    Find the value of…

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11. Q11 2023

    Questions number 19 and 20 are Assertion and Reason based questions carrying 1 mark each. Two statements are…

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12. Q12 2023

    (a) Evaluate…

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13. Q13 2023

    Evaluate $\sin^{-1}\left(\sin \frac{3\pi}{4}\right) + \cos^{-1}(\cos \pi) + \tan^{-1}(1)$.

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