write 2-2i in its modulus argument form

firsly sketch out the 2-2i on an argand diagrm and draw a line from (0,0) to (2,-2). With the shortest distance Mark the angle theta from the positive x-axis to the line to see whether the argument is positive or negative.

then do arctan(-2/2) to get the angle -pi/4. notice this angle is from the neative x-axis to the point (2,-2) so have to do pi-pi/4 to get the argument 3pi/4.

the to get the modulus it's sqrt(22+(-22)) which is root(8)

ZS
Answered by Zivanayi S. Further Mathematics tutor

8855 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

Cube roots of 8?


Show, using the focus-directrix property for an ellipse, that PS +PS'=2a where P is a point on the ellipse and S and S' are the two foci.


How do I determine whether a system of 3 linear equations is consistent or not?


Differentiate arcsin(2x) using the fact that 2x=sin(y)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences