Answer
$\theta = 45^{\circ}, 225^{\circ}$
Work Step by Step
$sin(\theta) = \frac{y}{r}$
$cos(\theta) = \frac{x}{r}$
If $sin(\theta) = cos(\theta)$, then $x = y$
If $x = y$, then $\theta = 45^{\circ}$ or $\theta = 225^{\circ}$
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