This problem is similar to Problem 6 on your 1.3 worksheet.

Suppose the angle $\theta$ is in the first quadrant, $0 \leq \theta \leq \pi /2$, and $\displaystyle \cos(\theta) = \frac{1}{8}$. Find exact values (as fractions, not decimal approximations) for the following.

(a) $\sin(\theta)$ = help (fractions)

(b) $\tan(\theta)$ = help (fractions)