Plotting Complex Numbers?

Question

Plot each complex number in the complex plane and write it in polar form. Express your answer in degrees.

(1) -1 + i

(2) 1 - sqrt{3} i

Answer 1

1)
x=-1
y=1
r=sqrt(2)
angle=135
z=sqrt(2) * (cos135+isin135)

2)
x=1
y=- sqrt(3)
r=sqrt(1+3)=2
angle=-60=300
z=2(cos300+isin300)

Answer 2

for plotting , you can take the Xaxis as real axis and plot the real part of complex no.
the Y aix as imaginary axis and plot the imaginary part their.then take the point where they both represent
ie. (-1,1) and (1,-sqrt(3))


polar form
a). sqrt(2)e^(i*3pi/4)
b).2e^(-ipi/3)

the argument make sure lies in( -pi,+pi)