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Principal Value Branch

Class 12 Mathematics के इस tag से जुड़े questions। हर question के साथ chapter, topic, level और difficulty दी गई है।

MathematicsWhich of the following inverse trigonometric functions has the principal-value range \([0,\pi]\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the value of \(\cos\left(\sin^{-1}\left(-\frac{5}{13}\right)\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(\cos^{-1}\left(\cos\left(-\frac{\pi}{3}\right)\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(\sin^{-1}\left(\sin\left(-\frac{2\pi}{3}\right)\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsFind the value of \(\sin^{-1}\left(\frac{\sqrt{2}}{2}\right)-\cos^{-1}\left(\frac{\sqrt{2}}{2}\right)\).Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the value of \(\tan^{-1}\left(\frac{1}{\sqrt{3}}\right)+\sin^{-1}\left(\frac{1}{2}\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsIf \(\theta=\cos^{-1}\left(-\dfrac{3}{5}\right)\), what is the value of \(\sin\theta\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(\cos^{-1}(0)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(\sin^{-1}\left(-\frac{\sqrt{3}}{2}\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsIf \(\tan^{-1}x=-\frac{\pi}{3}\), what is the value of \(x\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(\cos^{-1}\left(\cos\frac{4\pi}{3}\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(cosec^{-1}2\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhen is \(\tan^{-1}(\tan\theta)=\theta\) definitely true?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhen is \(\cos^{-1}(\cos\theta)=\theta\) definitely true?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhen is \(\sin^{-1}(\sin\theta)=\theta\) definitely true?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(\sin^{-1}\left(\frac{1}{2}\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(cosec^{-1}\left(\frac{2}{\sqrt{3}}\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(\cos^{-1}\left(\cos\left(-\frac{\pi}{4}\right)\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of \(\sin^{-1}\left(\sin\frac{7\pi}{6}\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsFor a real number \(x\), in which interval does the principal value of \(\tan^{-1}x\) lie?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium