Short Quiz - Chapter 2 Class 12 Inverse Trigonometric Functions

Question 1 of 5

NCERT Exemplar

The domain of \(\sin ^{-1} 2 x\) is

A \([0,1]\) B \([-1,1]\) C \(\left[-\frac{1}{2}, \frac{1}{2}\right]\) D \([-2,2]\)

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Question 2 of 5

NCERT Exemplar

The greatest and least values of \(\left(\sin ^{-1} x\right)^2+\left(\cos ^{-1} x\right)^2\) are respectively

A \(\frac{5 \pi^2}{4}\) and \(\frac{\pi^2}{8}\) B \(\frac{\pi}{2}\) and \(\frac{-\pi}{2}\) C \(\frac{\pi^2}{4}\) and \(\frac{-\pi^2}{4}\) D \(\frac{\pi^2}{4}\) and 0

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Question 3 of 5

NCERT Exemplar

The principal value of the expression \(\cos ^{-1}\left[\cos \left(-680^{\circ}\right)\right]\) is

A \(\frac{2 \pi}{9}\) B \(\frac{-2 \pi}{9}\) C \(\frac{34 \pi}{9}\) D \(\frac{\pi}{9}\)

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Question 4 of 5

CBSE Board Exam 2026

1. The following graph represents :

A \(\quad y=\cos ^{-1} x\) B \(y=\sec ^{-1} x\) C \(y=\tan ^{-1} x\) D \(y=\operatorname{cosec}^{-1} x\)

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Question 5 of 5

NCERT Exemplar

The value of \(\sin \left(2 \sin ^{-1}(\cdot 6)\right)\) is

A 48 B \(\cdot 96\) C 1.2 D \(\quad \sin 1 \cdot 2\)

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Short Quiz - Chapter 2 Class 12 Inverse Trigonometric Functions