# How do you prove #sec^2x-2secxcosx+cos^2x=tan^2x-sin^2x# ?

##
Prove:

#sec^2x-2secxcosx+cos^2x=tan^2x-sin^2x#

I boiled it down to each side being 1 but I don't think I did it all the way correctly.

Prove:

I boiled it down to each side being 1 but I don't think I did it all the way correctly.

Please see below.

So we have

By signing up, you agree to our Terms of Service and Privacy Policy

Please see below.

.

We know:

Let's plug it into the left side:

By signing up, you agree to our Terms of Service and Privacy Policy

Here is another fun way to prove it.

By signing up, you agree to our Terms of Service and Privacy Policy

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7