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Provide Solution For R.D.Sharma Maths Class 12 Chapter 3 Inverse Trigonometric Functions  Exercise Multiple Choice Questions Question 42 Maths Textbook Solution.

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Answer:\left\{\frac{-\pi}{2}, \frac{\pi}{2}\right\}

Hint: The principal branch is a function which selects one branch of multi-valued function.

Given: Principal value of branch of \tan ^{-1} x


The principal value of branch of \mathrm{y}=\tan ^{-1} x_{\mathrm{is}}\left\{\frac{-\pi}{2}, \frac{\pi}{2}\right\} Alignment needs improvement

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