# How do you verify #(1+tan^2x)/(1+cot^2x) = (tan^2x)^2#?

##### 1 Answer

These are called the Trigonometric Pythagorean Identities

#### Explanation:

Suppose you have a right triangle, with sides

The first identity comes from dividing the equation by

Now, with those identities, we can substitute in the original expression:

I believe the last three parts of the equalities are well known facts, or at least extremely easy to show, hence I'll stop here with the proof.