# Verify sec^2x-tan^2x=tanxcotx by changing only one side?

##### 2 Answers

#### Explanation:

To solve this, we will have to use the Reciprocal Identity and the Pythagorean Identity.

The Reciprocal Identity basically defines

The Pythagorean Identity is defined as:

We can manipulate this into two parts:

These will come in handy here in a moment.

Knowing these, all we really have to do is change the left side accordingly:

This can be further simplified into:

From here, we aren't necessarily changing the right side, but we are simplifying it.

Since

Therefore,

Please see below.

#### Explanation:

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