Q37 of 303 Page 4

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
If x < 0, y < 0 such that xy = 1, then write the value of tan^–1 x + tan^–1 y.

Given if x < 0, y < 0 such that xy = 1

Also given tan^-1 x + tan^-1 y

We know that

= -π + tan^-1 (∞)

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

Write the value of .

If 4sin^–1 x + cos^–1 x = π, then what is the value of x?

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

What is the principal value of ?

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:If x < 0, y < 0 such that xy = 1, then write the value of tan–1 x + tan–1 y.