## Algebra 2 Common Core

$$45^\circ,-315^\circ$$
Angles coterminal to angle $\theta$ are given by $\theta \pm n\times360^\circ$ where n is an integer. Therefore, an angle coterminal with $-675^\circ$ that is positive is $$-675^\circ + (2)360^\circ = -675^\circ+720^\circ = 45^\circ$$ and an angle coterminal with $-675^\circ$ that is negative is $$-675^\circ + (1)360^\circ = -315^\circ$$