MCQ_SINGLE

Domain of \(f(x)=\cos^{-1}x+\sin x\) is :

MCQ_SINGLE

\([\sec^{-1}(-\sqrt{2})-\tan^{-1}(\frac{1}{\sqrt{3}})]\) is equal to:

VSA

Draw the graph of $f(x)=\sin^{-1}x, x\in[-\frac{1}{\sqrt{2}},\frac{1}{\sqrt{2}}]$. Also, write range of $f(x)$.

VSA

Express \(\tan^{-1}(\frac{\cos~x}{1-\sin~x})\) where \(\frac{-\pi}{2}\lt x\lt \frac{\pi}{2}\) in the simplest form.

MCQ_SINGLE

If \(y=\sin^{-1}x\), \(-1 \le x \le 0\), then the range of y is

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