Q53 of 303 Page 4

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 in terms of cot^–1(x).

Given tan^-1 (1/x)

= cot^-1 x

= - (π – cot^-1 x)

= - π + cot^-1 x

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

Write the principal value of .

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

The set of values of .

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

Write the value of cot^–1(–x) for all x ∈ R in terms of cot^–1x.

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

Write the value of , when .

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 in terms of cot–1(x).