If y = 2 tan^–1 x + sin^–1 2x/(1 + x^2) for all x, then ____ < y < ____.

Question

Fill in the blanks:

If y = 2 tan^–1 x + sin^–1 2x/(1 + x²) for all x, then ____ < y < ____.

Answer 1

If y = 2 tan^–1 x + sin^–12x/(1 + x²) for all x, then  -2π < y < 2π.

Hence, -2π < y < 2π