Question

if z1=1+2i and z2=1-2i ,find the modulus amplitude form of z in the form of z=z1/z2

Answer 1

z=z1/z2=1+2i/1-2i

=1+2i) ^2/1^2-(2i) ^2

=1+4i+(2i) ^2/1+4

=1-4+4i/5

z=-3+4i/5

|z|=√3^2+4^2

=√9+16

=√25=5

amplitude=tanalpa=|-3/4|

= alpa=tan^-1(3/4)

Answer 2

Answer:

its answer is as tan-1(3/4)