Question

HELP PLEASE compute the modulus and arguement a.1+i
b.4-4i
c.2+5i
d.2(cos(2pi/3)+i sin(2pi/3))

Answer 1

1+i
Modulus
\[|z|=\sqrt{1^2+1^2}\]
\[|z|=\sqrt{2}\]

Answer 2

Argument \[\theta=\tan^{-1}\frac{1}{1}=\frac{\pi}{4}\]