Question

Let tan^-1y = tan^-1x + tan^-1(2x/(1 - x²)), where |x| < 1/√3. Then a value of y is

(A) (3x + x³)/(1 - 3x²)

(B) (3x - x²)/(1 + 3x²)

(C) (3x + x²)/(1 + 3x²)

(D) (3x - x³)/(1 - 3x²)

Answer 1

Correct option (D) (3x - x³)/(1 - 3x²)

Explanation:

 Since,