Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

Question

Answer each of the following questions in one word or one sentence or as per exact requirement of the question: Write the value of for x < 0.

Philoid · Accepted Answer

Given tan^-1 x + tan^-1 (1/x) for x < 0

We know that if x<0, y<0

= -π + tan^-1 (∞)

= -π + π/2

= -π/2

∴ tan^-1 x + tan^-1 (1/x) = -π/2