Question 1201677
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1. Convert 2-2i to polar form<br>
{{{abs(2)=abs(-2)}}}, so the reference angle is 45 degrees, or pi/4 radians.<br>
The given number has positive real part and negative imaginary part, so it is in quadrant IV.  A 45 degree reference angle in quadrant IV is -45 degrees, or -pi/4 radians.<br>
The modulus is {{{sqrt((2^2)+(-2)^2)=sqrt(8)=2sqrt(2)}}}.<br>
ANSWERS:
(2*sqrt(2),-pi/4) or (2*sqrt(2))cis(-pi/4)
modulus: 2*sqrt(2)
argument: -pi/4<br>