Question

Cot inverse of minus x is equal to pi minus cot inverse of x prrof

Answer 1

Let cot^-1 -x = t

So,

-x = cot t

Now,

We know that

cot (π-t) = -cot t = -(-x)

So,

π-t = cot^-1 x

And, thus,

t = π-cot^-1 x

Therefore,

cot^-1 -x = π- cot^-1 x

Hope this helps you !