# How do you find the domain & range for #sec theta#?

##### 1 Answer

Domain

#{x| x = (k+1/2) pi, k in RR\\\ZZ}#

Range

#(-oo,1] uu [1,oo)#

#### Explanation:

Graph of

graph{sec(x) [-20, 20, -10, 10]}

In general,

The domain for

when subtracted

#pi/2# , is not an integer multiple of#pi# .

In mathematical notations, it is

#{x| x = (k+1/2) pi, k in RR\\\ZZ}#

Note that the domain of

The since

graph{1/x [-5, 5, -2.5, 2.5]}

You will see that it is either

In mathematical notations, it is

#(-oo,1] uu [1,oo)#