Question

arctan = y IF AND ONLY IF tan y = x and -pi/2 < y < pi / 2
^ I do not understand the above.

Answer 1

in order to create the inverse of the trig functions; we have to limit them to a certain area; otherwise we would not be able to pick only 1 outcome from any given input

Answer 2

so to make sure all possible ratios are account for; the inverse functions are limited to restricted domains

Answer 3

err.... ranges

Answer 4

the pop back angles that correspond to a half circle ...

Answer 5

No I understand that part, but I don't get the the two expressions surrounding the if and and only.