1. Degrees are not the only units we use to measure angles. We also use radians. Just as there are $360^\circ$ in a circle, there are $2\pi$ radians in a circle. Compute $\tan \frac{\pi}{3}$.
2. If $A$ is an acute angle such that $\tan A + \sec A = 2$, then find $\cos A$.
3. In triangle $GHI$, we have $GH = HI = 25$ and $GI = 40$. What is $\sin\angle GIH$?