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Class 12 Mathematics Inverse Trigonometric Functions Introduction to inverse trigonometric functionsEasy

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For \(x\in\mathbb{R}\), what is the value of \(\tan(\tan^{-1}x)\)?

Answer and explanation

Correct answer: \(x\)

Let \(y=\tan^{-1}x\). Then by definition, \(\tan y=x\) (with \(y\) in the principal range). Therefore \(\tan(\tan^{-1}x)=\tan y=x\).

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Inverse Trigonometric Functions Identity Arctan Tangent Inverse Class 12 Easy

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