# For what values of x, if any, does #f(x) = 1/x-tanx # have vertical asymptotes?

##### 1 Answer

Dec 21, 2016

Vertical asymptotes occur at

#### Explanation:

We have

#f(x)=1/x-tanx#

which we can write as;

#f(x)=1/x-sinx/cosx#

There will be vertical asymptotes when any part of a denominator is zero, so in this case:

For

For

ie at

We can see these by looking at the graph: