Question

What is the domain of y = tan x?

Answer 1

see photo

Explanation:

Plato/Edmentum

Answer 2

Answer with explanation:

The meaning of the word Domain for a function, y=f(x),is set of all possible values of x for which y, is defined.

The given function is:

y = tan x

x∈(-∞, ∞) that is , x ∈ R,except at those points,where, cos x =0

`\tan x=(\sin x)/(\cos x)`

⇒Cos x=0

`x=n\pi \pm(\pi)/(2)`

Domain of tan x ,is

All Real Numbers except at

`x=n\pi \pm(\pi)/(2)`

=R - {
`x= n\pi \pm(\pi)/(2)` }