Trigonometry

Free Version

Upgrade subject to access all content

Difficult

Complex Numbers, DeMoivre’s Theorem, Trig Form

TRIG-DSJ5PU

What is $ z={ \left( -3-3i\sqrt { 3 } \right) }^{ 4 }$ in trigonometric form?

A

$324\left[ \cos { \left( \cfrac { 4\pi }{ 3 } \right) } +i\sin { \left( \cfrac { 4\pi }{ 3 } \right) } \right]$

B

$1296\left[ \cos { \left( \cfrac { \pi }{ 3 } \right) } +i\sin { \left( \cfrac { \pi }{ 3 } \right) } \right]$

C

$324\left[ \cos { \left( \cfrac { \pi }{ 3 } \right) } +i\sin { \left( \cfrac { \pi }{ 3 } \right) } \right]$

D

$1296\left[ \cos { \left( \cfrac { 4\pi }{ 3 } \right) } +i\sin { \left( \cfrac { 4\pi }{ 3 } \right) } \right]$