Short Quiz

Question 1 of 5

NCERT Exemplar

The value of \(\cos ^{-1}\left(\cos \frac{3 \pi}{2}\right)\) is equal to

A \(\frac{\pi}{2}\) B \(\frac{3 \pi}{2}\) C \(\quad \frac{5 \pi}{2}\) D \(\frac{7 \pi}{2}\)

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Question 2 of 5

NCERT Exemplar

The domain of the function \(y=\sin ^{-1}\left(-x^2\right)\) is

A \([0,1]\) B \((0,1)\) C \([-1,1]\) D \(\phi\)

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Question 3 of 5

CBSE Board Exam 2026

The principal value of \(\sec ^{-1}(\sqrt{2})+2 \operatorname{cosec}^{-1}(-\sqrt{2})\) is :

A \(-\frac{\pi}{2}\) B \(-\frac{\pi}{4}\) C \(\frac{\pi}{4}\) D \(\frac{\pi}{2}\)

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Question 4 of 5

NCERT Exemplar

The value of the expression \(\sin \left[\cot ^{-1}\left(\cos \left(\tan ^{-1} 1\right)\right)\right]\) is

A 0 B 1 C \(\frac{1}{\sqrt{3}}\) D \(\sqrt{\frac{2}{3}}\).

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Question 5 of 5

NCERT Exemplar

The principal value of \(\sin ^{-1}\left(\frac{-\sqrt{3}}{2}\right)\) is

A \(-\frac{2 \pi}{3}\) B \(-\frac{\pi}{3}\) C \(\frac{4 \pi}{3}\) D \(\frac{5 \pi}{3}\).

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Class 6