# How do I prove that #(3-6 cos^2 x)/(sin x- cos x)# = 3(sin x + cos x)?

##### 1 Answer

Sep 20, 2015

Yes, the equality is correct. See explanation.

#### Explanation:

You have

On the numerator, factor out 3:

Remember the identity

Substitute the 1 in the numerator:

Simplify by adding the cos^2 x together:

Remember that when you have something of the form

So rewrite the numerator

And remove

Q.E.D.