What is the range of the function ? f(x)=tan -1x

(-infinity, infinity)

-1<x<1

[-pie/2,pie/2]

[-1,1]

[-pie/2.pie/2]

For the function y = -tan x, the function takes an undefined value at x = pi/2 + n*pi where cos x = 0. For all other x the function is defined.

This makes the domain of the function as all numbers except pi/2 + n*pi , where n is any integer.

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