Write the Complex Number in Trigonometric Form $z = \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)$

Multiple Choice

Write the complex number in trigonometric form.

A) $z = \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)$
B) $Z = 6 ( \cos \pi + i \sin \pi )$
C) $Z = 6 \left( \cos \frac { \pi } { 2 } - i \sin \frac { \pi } { 2 } \right)$
D) $Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } - i \sin \frac { 5 \pi } { 4 } \right)$
E) $Z = 6 \sqrt { 2 } \left( \cos \frac { 5 \pi } { 4 } + i \sin \frac { 5 \pi } { 4 } \right)$