The graph of ^(-1) x is represented by: Option 1: Option 2: Option 3: Option 4:

Solution: The graph of ^(-1) x is defined on [-1, 1], passes through origin, and increases from (-1, -/2) to (1, /2). The S-shaped curve restricted to domain [-1, 1] matches option A.

Geometry

Trigonometry

Easy

The graph of $\sin^{-1} x$ is represented by:

✅ Correct Option: 1

The graph of $\sin^{-1} x$ is defined on $[-1, 1]$ , passes through origin, and increases from $(-1, -\pi/2)$ to $(1, \pi/2)$ . The S-shaped curve restricted to domain $[-1, 1]$ matches option A.

2022: 10 Aug Shift 1

$\tan(\alpha + \beta) =$

2025: 22 May Shift 2

The value of $\cot\left(\cos^{-1}\frac{7}{25}\right)$ is

2026: 21 May Shift 1

Value of $\cot\left\{\frac{\pi}{4} - 2\cot^{-1}3\right\}$ is

2026: 14 May Shift 2

Match the LIST-I with LIST-II

	LIST-I (Functions)		LIST-II (Principal Values)
A.	$\sin^{-1}\left(-\dfrac{1}{2}\right) + \cos^{-1}\left(-\dfrac{1}{2}\right)$	I.	$-\dfrac{\pi}{3}$
B.	$\cos^{-1}\left(\dfrac{1}{2}\right) + 2\sin^{-1}\left(\dfrac{1}{2}\right)$	II.	$\dfrac{3\pi}{4}$
C.	$\tan^{-1}\sqrt{3} - \sec^{-1}(-2)$	III.	$\dfrac{\pi}{2}$
D.	$\cos^{-1}\left(-\dfrac{1}{\sqrt{2}}\right)$	IV.	$\dfrac{2\pi}{3}$

Choose the correct answer from the options given below:

2025: 30 May Shift 2

The simplified form of $\tan^{-1}\left(\frac{\cos x}{1+\sin x}\right)$ , $-\frac{\pi}{2} < x < \frac{\pi}{2}$ is

2025: 15 May Shift 1

For the principal value branch, the value of $\sin\left(\frac{\pi}{2} - \sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)\right)$ is

The graph of sin⁡−1x\sin^{-1} xsin−1x is represented by:

Solution

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CUET Mathematics Past Year Questions (Topic-Wise)

The graph of $\sin^{-1} x$ is represented by: