Question

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

Answer 1

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)`