Answer each of the following questions in one word or one sentence or as per exact requirement of the question: If 1 < x < 0, then write the value of . A mathematical expression combining inverse sine and inverse cosine functions: sin^-1 (2x / (1+x^2)) + cos^-1 ((1-x^2) / (1+x^2)).

Q9 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 –1 < x < 0, then write the value of .

Given -1 < x < 0

We know that

Given

= 2 tan^-1 x – 2 tan^-1 x

= 0

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.

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

What is the value of ?

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

Writ the value of sin (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 value of .