Question

evaluate:
tan(- pi/24)

Answer 1

tan(x) is an odd function
so you could look at evaluating -tan(pi/24) instead

Answer 2

\[\frac{\pi}{4}-\frac{\pi}{6}=\frac{6\pi-4\pi}{24}=\frac{2\pi}{24}=\frac{\pi}{12} \\ \frac{\pi}{24}=\frac{1}{2} \cdot \frac{\pi}{12}\]

Answer 3

I don't know if there is a less complicated way
but it looks like you can use difference rule then half angle identity