Question

convert -sqrt(3)-i into polar form

Answer 1

\[
z= x+iy \implies x = -\sqrt 3,\quad y = -1
\]So use: \[
z=re^{i\theta } \implies r = \sqrt{x^2+y^2},\quad \theta = \tan^{-1}\left(\frac{-1}{ -\sqrt 3}\right)
\]

Answer 2

2cis (pi)/6




2cis 5(pi)

6


2cis 7

6


2cis 11

6


2cis 4

3

Answer 3

r=-sqrt(3)^2+-1^2

Answer 4

im sorry i'm exhausted haven't been to sleep in 2 days man I'm about to be out