Question

How do you find the vertical, horizontal and slant asymptotes of: `g(theta) = tan(theta)/(theta)`?

Answer 1

See below.

Explanation:

Vertical asymptotes occur at values that make the function undefined. No interval has been specified so I will use:

`-2pi<=theta<=2pi`

`tan(theta)` is undefiled for, `-(3pi)/2 -pi , pi/2 , (3pi)/2`

The function is also undefined for `theta = 0` ( Division by 0 )