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

8764 Views

See similar Further Mathematics A Level tutors

Related Further Mathematics A Level answers

All answers ▸

How do you find the derivative of arcsinx?


How do I use proof by induction?


A child weighing 50kg is pushed down a 2m long slide (u=0.1), angled at 45 degrees from the horizontal, at 5m/s. At what speed does the child reach the bottom of the slide?


Solve the following, giving your answers in terms of ln a: 7 sechx - tanhx =5


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