Question

Express the complex number in trigonometric form.

-2 + 2 square root of 3 i

Answer 1

major hint:
\[2(-1+\sqrt{3}i) \\ 2 \frac{2}{2}(-1+\sqrt{3}i) \\ 2(2)(\frac{-1}{2}+\frac{\sqrt{3}}{2}i) \\ 4(\frac{-1}{2}+\frac{\sqrt{3}}{2}i)\]

Answer 2

so it would be \[4(\cos \frac{ 2\pi }{ 3 } + i \sin \frac{ 2\pi }{ 3 }) ?\]

Answer 3

@freckles

Answer 4

yah

Answer 5

\[4e^{\frac{2\pi}{3}i}\]
this is also called polar form

Answer 6

oh okay i understand now. thanks!!

Answer 7

cool stuff