Question

a question about complex number. Question 6 part ii

Please find attached photo.

Answer 1

Have you answered the first part?

Answer 2

yes. Just draw the argrand diagram

Answer 3

In fact, I know how to get the values (maximum and minimum) of z when argz=3/4pi（maximum z)
Just dont know how to get when argz is minimum

Answer 4

This is part (i)

Answer 5

What is the definition of arg(z)?

Answer 6

do you know complex number？

Answer 7

It is the tan(angle between z and horizontal axis)

Answer 8

So when does z have the max & min args

Answer 9

what do you think

Answer 10

I think arg(z) will be maximum when z is represented by A, & minimum when it is represented by B... But I's not sure about B..