Question

If x, y > 0, then the range of sin^-1(x/(1 + x²)) + sin^-1(y/(1 + y²)) is

(A) [0, π]

(B) (-π, π]

(C) [0, 2π/3]

(D) (0, 2π/3]

Answer 1

Correct option (D) (0, 2π/3]

Explanation:

So, range of the given expression is (0, 2π/3]