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 ? A mathematical expression combining inverse cosine and inverse sine functions with angles: cos^-1 (cos(2pi/3)) + sin^-1 (sin(2pi/3)).

Q8 of 303 Page 4

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 ?

We know that sin^-1 (sin θ) = π – θ, if θ ∈ [π/2, 3π/2] and cos^-1 (cos θ) = θ, if θ ∈ [0, π]

Given

= π

Writ 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:

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:

If –1 < x < 0, then write 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).