Short Quiz

Question 1 of 5

NCERT Exemplar

If \(\sin ^{-1} x+\sin ^{-1} y=\frac{\pi}{2}\), then value of \(\cos ^{-1} x+\cos ^{-1} y\) is

A \(\frac{\pi}{2}\) B \(\pi\) C 0 D \(\frac{2 \pi}{3}\)

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Question 2 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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Question 3 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 4 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 5 of 5

NCERT Exemplar

Which of the following corresponds to the principal value branch of \(\tan ^{-1}\) ?

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

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