Fill in the blanks

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


If y = 2 tan–1 x + sin–1 for all x, then -2π < y < .



We know that,



So,



=4 tan-1 x


So, y = 4 tan-1 x


As, principal value of tan-1 x is


So,


Hence, -2π < y < 2π


46
1