Question

Inverse Trig Question :)
For the function y = tan^-1 (tan x)
(a) write down its domain and range
(b) Sketch its graph

Answer 1

i know that for y = tan^-1 (x)
Domain : All real x
Range : -pi/2 < y < pi/2
buuuut yeah LOL

Answer 2

right,
first you know y=arctan(tan(x)) = x

Answer 3

we can say there is a discontinuity at pi/2 and -pi/2 though

Answer 4

since tanx = sinx/cosx

Answer 5

yyaassss