Tangent What is the domain and range of ytan xSolutionFor th

Tangent.

What is the domain and range of y=-tan x?

Solution

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.

The range is {R} as tan x can take on any real value.