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Provide solution for RD Sharma math class 12 chapter 3 Inverse Trigonometric Functions exercise Very short answer question 54

Answers (1)

Answer: \pi-\cot ^{-1} x

Given:

\cot ^{-1}(x) \ \ for \ \ all \ \ x \in R  in terms of \cot ^{-1}x

Hint:

\cot ^{-1}(-x)=\pi-\cot ^{-1} x

Solution:

The value of \cot ^{-1}(-x)=\pi-\cot ^{-1} x\) \ for \ all \ x \in \mathrm{R}in terms of \cot ^{-1} (x)  is,

=\pi-\cot ^{-1}(x)

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