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Trigonometry

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Converting Standard Form of Complex Number to Trigonometric Form

TRIG-T1HHPB

Rewrite the complex number $z=3+\sqrt { 3 } i$ in trigonometric form.

A

$ z=2\sqrt { 3 } \left( -\cos { \left( \cfrac { \pi }{ 6 } \right) } +i\sin { \left(- \cfrac { \pi }{ 6 } \right) } \right)$

B

$ z=2\sqrt { 3 } \left( \cos { \left( \cfrac { \pi }{ 6 } \right) } +i\sin { \left( \cfrac { \pi }{ 6 } \right) } \right)$

C

$ z=2\sqrt { 3 } \left( \cos { \left( \cfrac { \pi }{ 6 } \right) } -i\sin { \left( \cfrac { \pi }{ 6 } \right) } \right)$

D

$ z=\sqrt { 3 } \left( \cos { \left( \cfrac { \pi }{ 6 } \right) } +i\sin { \left( \cfrac { \pi }{ 6 } \right) } \right)$