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1. Argument of a sum of exponentials ●●○○○ 20 ptsThe number $e^{7\pi i/60} + e^{17\pi i/60} + e^{27\pi i/60} + e^{37\pi i/60} + e^{47\pi i/60}$ is written in the form $re^{i\theta}$, where $r \ge 0$ and $0 \le \theta < 2\pi$. Find $\theta$ in degrees.
2. Sum of four inverse trigonometric terms ●●●○○ 50 ptsFind the value, in degrees, of $\arcsin \frac{1}{\sqrt{10}}+\arccos \frac{5}{\sqrt{26}}+\arctan \frac{1}{7}+\arccos \frac{8}{\sqrt{65}}$.