I am currently learning about Verifying trigonometric identities and it has been a really long time since I have taken any algebra. I wanted to know if I could modify the pythagorean identity to such:

So, the sine, cosine pythagorean identity is:

so that means that this is also true:

or...

So here is my question. I don't remember if I am allowed to do this but does that mean that this can also be true? -->