Answer
$405^\circ,-315^\circ$
Work Step by Step
Angles coterminal to angle $\theta$ are given by $\theta \pm n\times360^\circ$ where n is an integer.
Therefore, an angle coterminal with $45^\circ$ that is positive is
$$45^\circ + (1)360^\circ = 405^\circ$$
and an angle coterminal with $45^\circ$ that is negative is
$$45^\circ - (1)360^\circ = -315^\circ$$