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Tan Inverse

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

MathematicsWhich statement is correct for \(\tan^{-1}x=\sin^{-1}\left(\frac{x}{\sqrt{1+x^2}}\right)\)?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsMediumMathematicsFor which condition on \(x\) is the identity \(\sin^{-1}x=\tan^{-1}\left(\dfrac{x}{\sqrt{1-x^2}}\right)\) correct?Class 12Inverse Trigonometric FunctionsIntroduction to inverse trigonometric functionsMediumMathematicsIf \(\theta=\tan^{-1}\left(\frac{5}{12}\right)\), what is \(\sin\theta\)?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsMediumMathematicsIf \(\tan^{-1}x=-\frac{\pi}{3}\), what is the value of \(x\)?Class 12Inverse Trigonometric FunctionsPrincipal value branchMediumMathematicsWhat is the correct value of \(\sin(\tan^{-1}x)\)?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsMediumMathematicsWhich is the correct form of \(\tan^{-1}(-x)\)?Class 12Inverse Trigonometric FunctionsProperties of inverse trigonometric functionsMediumMathematicsWhen is \(\tan^{-1}(\tan\theta)=\theta\) definitely true?Class 12Inverse Trigonometric FunctionsPrincipal value branchMedium

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