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Write the Value of Cot − 1 ( − X ) for All X ∈ R in Terms of Cot − 1 ( X ) - Mathematics

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Question

Write the value of  `cot^-1(-x)`  for all `x in R` in terms of `cot^-1(x)`

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Solution

We know that 
\[\cot^{- 1} \left( - x \right) = \pi - \cot^{- 1} \left( x \right)\] Therefore, the value of  \[\cot^{- 1} \left( - x \right)\]  for all `x in R`   in terms of `cot^-1(x)`   is `pi-cot^-1(x)`

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Chapter 4: Inverse Trigonometric Functions - Exercise 4.15 [Page 119]

APPEARS IN

RD Sharma Mathematics [English] Class 12
Chapter 4 Inverse Trigonometric Functions
Exercise 4.15 | Q 54 | Page 119

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