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Class 12 · Mathematics · Medium

What is the principal value of \(\sin^{-1}\left(\frac{1}{2}\right)\)?

Class 12 · Mathematics · Medium

If \(y=\sin^{-1}x\), what is the correct domain of \(x\)?

Class 12 · Mathematics · Medium

For which (x) is \(\sin^{-1}(2x)\) defined as a real number?

Class 12 · Mathematics · Medium

What is the principal value of \(cosec^{-1}\left(\frac{2}{\sqrt{3}}\right)\)?

Class 12 · Mathematics · Medium

What is the value of \(\tan\left(\cos^{-1}\frac{5}{13}\right)\)?

Class 12 · Mathematics · Medium

If (\sin^{-1}x=\cos^{-1}x), what is the value of (x)?

Class 12 · Mathematics · Medium

What is the principal value of \(\cos^{-1}\left(\cos\left(-\frac{\pi}{4}\right)\right)\)?

Class 12 · Mathematics · Medium

What is the principal value of \(\sin^{-1}\left(\sin\frac{7\pi}{6}\right)\)?

Class 12 · Mathematics · Medium

Which function is defined from \(\left[-1,1\right]\) to \(\left[0,\pi\right]\)?

Class 12 · Mathematics · Medium

What is the principal value of (\sec^{-1}(-\sqrt{2}))?

Class 12 · Mathematics · Medium

What is the value of \(\tan^{-1}\left(\frac{1}{2}\right)+\tan^{-1}\left(\frac{1}{3}\right)\)?

Class 12 · Mathematics · Medium

If \(\theta=\cot^{-1}\left(\frac{3}{4}\right)\), what is the value of \(\cos\theta\)?

Class 12 · Mathematics · Medium

For a real number \(x\), in which interval does the principal value of \(\tan^{-1}x\) lie?

Class 12 · Mathematics · Medium

What is the principal value of \(\sin^{-1}\left(\sin\left(-\frac{5\pi}{6}\right)\right)\)?

Class 12 · Mathematics · Medium

What is the value of \(\cos^{-1}\left(\frac{\sqrt{2}}{2}\right)\)?

Class 12 · Mathematics · Medium

If \(\alpha=\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)\), what is \(\alpha\) equal to?

Class 12 · Mathematics · Medium

What is the value of \(\sin^{-1}\left(\frac{2}{3}\right)+\cos^{-1}\left(\frac{2}{3}\right)\)?

Class 12 · Mathematics · Medium

If \(\tan^{-1}x=-\frac{\pi}{6}\), what is the value of (x)?

Class 12 · Mathematics · Medium

If (\cos^{-1}x=\frac{2\pi}{3}), what is the value of (x)?

Class 12 · Mathematics · Medium

If (\sin^{-1}x=\frac{\pi}{4}), what is the value of (x)?