Question

The value of cot^-1(-x) for all x ∊ R in terms of cot^-1 x is _________________.

Answer 1

We know

${\cot }^{-1}\left(-x\right)=\mathrm{\pi }-{\cot }^{-1}x$, for all x ∈ R

The value of cot⁻¹(−x) for all x ∈ R in terms of cot⁻¹ x is $\underline{\mathrm{\pi }-{\cot }^{-1}x}$.