Answer
The equivalent trigonometric form is $\sqrt{8}(cos 135^\circ + i sin135^\circ)$.
Work Step by Step
$- 2 + 2i$ is at $135^\circ$ with absolute value $\sqrt{(-2)^2 + 2^2} = \sqrt{8}$, the equivalent trigonometric form is $\sqrt{8}(cos 135^\circ + i sin135^\circ)$.