VSA

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

VSA

Find value of k if $sin^{-1}[k~tan(2~cos^{-1}\frac{\sqrt{3}}{2})]=\frac{\pi}{3}.$

VSA

Simplify $\sin^{-1}\left(\frac{x}{\sqrt{1+x^{2}}}\right)$.

VSA

Express $tan^{-1}(\frac{cos~x}{1-sin~x})$ where $\frac{-\pi}{2}

MCQ_SINGLE

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

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