The simplest form of ^-1 sqrt(1+x^2) - 1x, x ≠ 0 is: Option 1: ^-1 x Option 2: x Option 3: 1/2 ^-1 x Option 4: sqrt(1+x^2)

The answer is '1/2 ^-1 x'. View full solution:

CUET Mathematics - The simplest form of ^-1 sqrt(1+x^2) - 1x, x ≠ 0 is: | PYQs + Solutions

CUET Mathematics 2023 23 May Shift 3

Geometry

Medium

$\tan^{-1} x$

$x$

$\frac{1}{2} \tan^{-1} x$

$\sqrt{1+x^2}$

✅ Correct Option: 3

Related questions:

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The value of $\tan^{-1}(1) + \cos^{-1}\left(-\frac{\sqrt{3}}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right)$ is

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The value of $\alpha$ is

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Match List - I with List - II.

List - I	List - II
(A) $\tan^{-1}\sqrt{3} - \sec^{-1}(-2)$	(I) $\frac{3\pi}{4}$
(B) $\cot^{-1}\left(\frac{-1}{\sqrt{3}}\right)$	(II) $-\frac{\pi}{3}$
(C) $\cos^{-1}\left(-\frac{1}{\sqrt{2}}\right)$	(III) $\frac{\pi}{2}$
(D) $\cos^{-1}\left(\frac{1}{2}\right) + \sin^{-1}\left(\frac{1}{2}\right)$	(IV) $\frac{2\pi}{3}$

Choose the correct answer from the options given below :