Write the complex number in polar form. Express the argument in degrees, rounded to the nearest tenth, if necessary.
-$$- 4 + 4 \mathrm { i }$$
A) $4 \sqrt { 2 } \left( \cos 120 ^ { \circ } + i \sin 120 ^ { \circ } \right)$
B) $4 \sqrt { 2 } \left( \cos 135 ^ { \circ } + i \sin 135 ^ { \circ } \right)$
C) $16 \left( \cos 135 ^ { \circ } + \mathrm { i } \sin 135 ^ { \circ } \right)$
D) $16 \left( \cos 120 ^ { \circ } + \mathrm { i } \sin 120 ^ { \circ } \right)$

Question

Quizplus · Accepted Answer

The complex number $-4 + 4i$ has a magnitude of $4\sqrt{2}$ and an angle of $135^\circ$ when converted to polar form, placing it in the second quadrant where both sine and cosine are positive/negative respectively.

Write the Complex Number in Polar Form −4+4i- 4 + 4 \mathrm { i }−4+4i

Write the Complex Number in Polar Form $- 4 + 4 \mathrm { i }$