Looking at the two triangles, we know sine of π force π force is really 45°. So sine is opposite over hypotenuse. So we're going to have opposite being one over root 2 cosine of π thirds. Cosine is adjacent over hypotenuse and π thirds is the same thing as 60°, so that's 1/2 tangent of π thirds is opposite over adjacent or root 3 / 1. So when we get this simplified, we end up with 1 / 2 root 2 minus root 3. We don't want to leave a radical in the denominator, so we're going to multiply this one by root 2 over root 2. If we multiply by root 2 over root 2, we're going to end up with root 2 / 4 minus root 3. And that's going to be an exact answer. If we wanted to get a common denominator, we'd have root 2 -, 4 root threes all over 4.