Question

If ∑sin^-1x_i for i ∈ [i=1, 2n] = n, then ∑x_i for i ∈ [i=1, 2n] is

(A) n

(B) 2n

(C) n(n +1)/2

(D) None of these

Answer 1

Correct option (B) 2n

Explanation:

Given sin^-1x₁ + sin^-1x₂ + … + sin^-1x_2n = nπ

which is possible only if