Question

Convert the complex number 3-3i into its polar representation.
A. 3(cos(60°) + isin(60°))
B. 3√2 (cos(135°) + isin(135° ))
C. √3 (cos(225°) + isin(225°))
D. 3√2 (cos(315°) + isin(315°))

Answer 1

\(\large a+bi = r\left(\cos (\theta) + i\sin(\theta)\right)\)

Answer 2

\(\large r = \sqrt{a^2+b^2}\)

\(\theta = \arctan(b/a)\)