Question

Express the complex numbers in trigonmetric form.

Answer 1

\[-6+6\sqrt{3}^{i}\]

Answer 2

Help
PLEASE

Answer 3

Can you help me?

Answer 4

\(-6+6\sqrt{3} \, i\)
\(-6(1-\sqrt{3} \, i)\)
\(= -12(\dfrac{1}{2}-\dfrac{\sqrt{3}}{2} \, i)\)
\(= -12(\cos(\dfrac{\pi}{3})-\sin(\dfrac{\pi}{3}) \, i)\)

Answer 5

I got \[12(\cos(2\Pi/3) + i \sin(2\Pi/3)\]

Answer 6

cool, now i can mess about a bit

\[= -12\left(\cos\dfrac{\pi}{3}-i \,\sin\dfrac{\pi}{3}\right) \]
\[= -12e^{-i\frac{\pi}{3}}\]
\[= +12.e^{i\pi}.e^{-\frac{\pi}{3}}\]
\[= 12e^{i(\pi - \frac{\pi}{3})}\]
\[= 12e^{i\frac{2\pi}{3}}\]
\[=12\left(\cos\dfrac{2\pi}{3} + i \sin\dfrac{2\pi}{3}\right)\]