what restriction should be applied to y = tanx for y = arctanx to be defined?\nrestrict the range to (-π/2…

Brief Explanations:

The inverse - tangent function (y = \arctan x) is the inverse of a restricted version of the tangent function. The tangent function (y=\tan x) is a periodic function. To define its inverse, we need to restrict its domain so that it is one - to - one. The tangent function (y = \tan x) is one - to - one when its domain is restricted to ((-\frac{\pi}{2},\frac{\pi}{2})).

Answer:

restrict the domain to ((-\frac{\pi}{2},\frac{\pi}{2}))