# How do you verify #tan^2(x) / sec(x) = sec(x) - cos(x) #?

##### 1 Answer

First prove that

#### Explanation:

(Lightly used source: https://answers.yahoo.com/question/index?qid=20080831084348AAj0BJV)

Start with the identity

Subtract

Divide both sides by

Now simplify. Remember sin/cos = tan, and 1/cos = sec

There. Now that we've proven that

There we go! If this doesn't make sense, don't worry. Let me know in the 'comments' and I'll give you a list of the trigonometric identities I used to solve this.