- #1

- 65

- 2

By tan/sec identity,

[tex]\frac {2-sec^2(\theta)}{2-csc^2(\theta)}[/tex]

separated the variables

[tex]\frac {2}{2-csc^2}- \frac {sec^2}{2-csc^2}[/tex]

There's absolutely nothing useful I can do with either of those terms, so that approach is useless. I also tried putting everything into terms of sin and cos and simplifying to get

[tex]\frac {sin^2- \frac {2sin^2}{cos^2}}{2sin^2-1}[/tex]

but that wasn't helpful either. I'm assuming that I need to simplify to -tan^2, but I can't find any way to do that.