# Thread: Question Concerning Basic Identities

1. ## Question Concerning Basic Identities

I realize that some of you consider this very basic but I'm wondering if $\displaystyle \csc\theta=\frac{1}{\sin\theta}$

would it follow that $\displaystyle \csc^2\theta=\frac{1}{\sin^2\theta}$?

I guess the real question I'm wondering is whether or not I can use trig identities, regardless of the power of the identities being used, as long as all the identities are raised to the same power?

2. Originally Posted by headless chickens
I realize that some of you consider this very basic but I'm wondering if $\displaystyle \csc\theta=\frac{1}{\sin\theta}$

would it follow that $\displaystyle \csc^2\theta=\frac{1}{\sin^2\theta}$?

I guess the real question I'm wondering is whether or not I can use trig identities, regardless of the power of the identities being used, as long as all the identities are raised to the same power?
Yes that is correct.

And yes you can, you just have to make sure the exponentiation is affecting both sides of the equation in the same way. So make sure you have a solid command over exponentiating fractions, products, etc.