Write the complex conjugate of z in polar form with argument $\theta$ between 0 and $2 \pi$$z = 5 - 5 i \sqrt { 3 }$
A) $10 ( \cos ( \pi / 3 ) + i \sin ( \pi / 3 ) )$

B) $5 ( \cos ( 5 \pi / 3 ) + i \sin ( 5 \pi / 3 ) )$

C) $10 ( \cos ( \pi / 6 ) + i \sin ( \pi / 6 ) )$

D) $5 ( \cos ( 7 \pi / 6 ) + i \sin ( 7 \pi / 6 ) )$

E) none

Question

Write the complex conjugate of z in polar form with argument $\theta$ between 0 and $2 \pi$$z = 5 - 5 i \sqrt { 3 }$
A) $10 ( \cos ( \pi / 3 ) + i \sin ( \pi / 3 ) )$

B) $5 ( \cos ( 5 \pi / 3 ) + i \sin ( 5 \pi / 3 ) )$

C) $10 ( \cos ( \pi / 6 ) + i \sin ( \pi / 6 ) )$

D) $5 ( \cos ( 7 \pi / 6 ) + i \sin ( 7 \pi / 6 ) )$

E) none

Quizplus · Accepted Answer

The complex conjugate of $z = 5 - 5 i \sqrt { 3 }$ is $5 + 5 i \sqrt { 3 }$. In polar form, this is $10 ( \cos ( \pi / 3 ) + i \sin ( \pi / 3 ) )$.

Write the Complex Conjugate of Z in Polar Form with Argument