Arg, I've been working at this for like half an hour and I can't figure it out. I'm getting a couple different answers, but I'm not sure which is right. I've done most of the work, it's just the simplifying the answer I'm stuck on. The question is this:
Use the sum or difference identity to find the exact value of the trigonometric function tan(165)
I've gotten it reduced to this
Sorry for the sloppiness, I just scribbled that in paint, but I think it is understandable. I asked a few friends and got varying answers, so I thought I might come here and see if anyone here has any good input. What I can't figure out is how exactly to simplify that. I know it can get more simplified, I'm just not sure how. Thanks a lot!