VSA

Find the domain of the function \(f(x)=\cos^{-1}(x^{2}-4).\)

VSA

Find the domain of the function \(f(x)=\sin^{-1}(x^{2}-4).\) Also, find its range.

MCQ_SINGLE

If \(\tan^{-1}(x^{2}-y^{2})=a\), where 'a' is a constant, then \(\frac{dy}{dx}\) is:

VSA

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

VSA

Find the value of \(\tan^{-1}(-\frac{1}{\sqrt{3}})+\cot^{-1}(\frac{1}{\sqrt{3}})+\tan^{-1}[\sin(-\frac{\pi}{2})].\)

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