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 . A nested mathematical expression involving inverse trigonometric and trigonometric functions: sin^-1{cos(sin^-1(1/2))}.

Q51 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 principal value of .

Given

= sin^-1 (1/2)

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

Write the value 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 the expression , when .

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 for x < 0 in terms of cot^–1(x).