And if I could factor this into something that involves a one plus square root of two sine theta, then I'm gonna be in business. And it looks like this right over here, that can be factored as one plus square root of two sine theta times one minus square root of two sine theta. So let me use this. Cosine of two theta is the same thing, cosine of two theta is the same thing as one minus two sine squared theta, which is just a difference of squares. We can rewrite that as, if this is a squared minus b squared, this is a plus b times a minus b. So I can just replace this with one plus square root of two sine theta times one minus square root of two sine theta. And now we have some nice canceling, or potential canceling that can occur.