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Class 12 · Mathematics

Under which condition is \(\sin^{-1}x=\tan^{-1}\left(\dfrac{x}{\sqrt{1-x^2}}\right)\) correct?

Class 12 · Mathematics

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

Class 12 · Mathematics

What is the principal value of \(\cos^{-1}\left(\cos\left(-\frac{\pi}{3}\right)\right)\)?

Class 12 · Mathematics

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

Class 12 · Mathematics

Find the value of \(\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)-\cos^{-1}\left(\frac{\sqrt{2}}{2}\right)\).

Class 12 · Mathematics

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

Class 12 · Mathematics

If (0<a<1), which statement about (\sin^{-1}a) and (\cos^{-1}a) is always true?

Class 12 · Mathematics

What type of function is f(x)=\cos^{-1}x on its domain \([-1,1]\)?

Class 12 · Mathematics

When is (\cos^{-1}x=\frac{\pi}{2}-\sin^{-1}x) true?

Class 12 · Mathematics

If \(\theta=\tan^{-1}\left(\frac{5}{12}\right)\), what is \(\sin\theta\)?

Class 12 · Mathematics

If \(\theta=\cos^{-1}\left(-\dfrac{3}{5}\right)\), what is the value of \(\sin\theta\)?

Class 12 · Mathematics

If \(\theta=\sin^{-1}\left(\frac{3}{5}\right)\), what is the value of \(\cos\theta\)?

Class 12 · Mathematics

What is the correct conclusion about \(\cos^{-1}\left(\tfrac{3}{2}\right)\)?

Class 12 · Mathematics

Which statement is correct about \(\sin^{-1}2\)?

Class 12 · Mathematics

Which statement is correct: what does (\sin^{-1}x) mean?

Class 12 · Mathematics

What is the principal value of \((\tan^{-1}0)\)?

Class 12 · Mathematics

What is the principal value of \(\cos^{-1}(0)\)?

Class 12 · Mathematics

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

Class 12 · Mathematics

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

Class 12 · Mathematics

On which set is \(cosec^{-1}x\) defined?