Just wondering, I was a bit confused on some trigonometry problems when they have a number along with the theta.

For example, what if you have a problem like this:

2csc^{2}Ɵ-8cscƟ+8=1

This is what I did:

1. 2csc^{2}Ɵ-8cscƟ+7=0

Then it looked like a quadratic formula to me.

So I set it up, and in the end, I gotcsc(Ɵ)=(4+√2)/2, which I got lost because I didn't know what degree that would be.

So I tried turning cscƟ into 1/sinƟ, which then becamesinƟ = 2/(4+√2), still a bit lost.

Another example would be: tan(Ɵ+20)=1, I wasn't sure if 20 is a degree or not, since it didn't have a degree thing on top of it.

So what I did was: Ɵ+20=arctan(1), which turns into Ɵ+20 = pi/4, thenƟ = pi/4 + 20, which I know 45 is pi/4, but not sure what to do with the 20.

So I'm a bit confused with these two, can someone explain?

Thanks