Question

Convert into polar form :

(-1/2) + i ( \(\frac{-\sqrt{3}}{2}\) )

Answer 1

(-1/2) + i ( \(-\frac{\sqrt{3}}{2}\) )

Answer 2

I got : cos ( 4 pi/3 ) + sin ( 4 pi/3)

Answer 3

But the book says :

cos ( - 2pi/3 ) + i sin ( - 2pi/3). Which is also right...

Answer 4

isin

Answer 5

You're wrong.

Answer 6

Sorry typing mistake I meant i sin 4pi/3

Answer 7

^ cos ( 4 pi/3 ) + i sin(4pi/3)

Answer 8

Find the absolute value of this:
\[\left| -\frac{ 1 }{ 2 } -\frac{ i \sqrt{3} }{ 2 }\right|\]

Answer 9

So which should I prefer more ? -2pi/3 or 4 pi/3

Answer 10

So
\[=\sqrt{(-\frac{ 1 }{ 2 })^2+(-\frac{ \sqrt{3} }{ 2 })^2}\]

Answer 11

So r=1

Answer 12

Now draw it.

Answer 13

Drawing it gives you a way better picture of what the angle is.

Answer 14

\[\large{\sqrt{ (\frac{-1}{2} )^2 + ( \frac {- \sqrt{3}}{2})^2}}\]

right so it is : \(\1\)