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
10366 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸The finite region bounded by the x-axis, the curve with equation y = 2e^2x , the y-axis and the line x = 1 is rotated through one complete revolution about the x-axis to form a uniform solid. Show that the volume of the solid is 2π(e^2 – 1)
Find the general solution of y'' - 3y' + 2y = 2e^x
What are polar coordinates?
By forming and solving a suitable quadratic equation, find the solutions of the equation: 3cos(2A)-5cos(A)+2=0