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Principal Value

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

MathematicsFind the principal value of \(\tan^{-1}\left(\tan\left(-\dfrac{5\pi}{6}\right)\right)\).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 MathematicsWhat is the principal value of \(\left(\tan^{-1}0\right)\) ?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 MathematicsWhen is \(\tan^{-1}(\tan\theta)=\theta\) definitely true?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 \(\sin^{-1}\left(\sin\frac{7\pi}{6}\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is the principal value of (\sec^{-1}(-\sqrt{2}))?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsWhat is the principal value of \(\sin^{-1}\left(\sin\left(-\frac{5\pi}{6}\right)\right)\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsWhat is cos⁻¹(−x) equal to, where x ∈ [−1,1]?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsMedium MathematicsWhat is the principal value of (\csc^{-1}(-2))?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsWhat is (\tan^{-1}x+\cot^{-1}x), where (x>0)?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsMedium MathematicsA student claims that \(\tan^{-1}(\tan(3\pi/4))=3\pi/4\). What is the correct evaluation of this claim?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsWhat is the principal value of \(\tan^{-1}(\tan\frac{3\pi}{4})\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium MathematicsA student says that \(\sin^{-1}x\) means \(\frac{1}{\sin x}\). Which statement correctly fixes this error?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsIf \(y=\sin^{-1}x\), which relation between (x) and (y) is correct?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsWhat is the range of the function \(\tan^{-1}x\)?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsWhat is the value of \(\tan^{-1}(-1)\) in the principal branch?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium MathematicsWhat is the value of \(\cos^{-1}\left(-\frac{1}{2}\right)\) in the principal branch?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMedium