How do I express complex numbers in the form reiθ?
How do I express complex numbers in the form reiθ? Complex numbers have a general form of a+ib, i being imaginary. To answer this it is best shown on an argand diagram. Plot your complex number, then the angle at which the complex expression is plotted is your theta and its distance is "r".
Example 3+4i
Using pythagaros we find "r": (32+42)1/2=5
Using trigonometry we find "θ": tan-1(4/3)=0.927 Rad
Therefore 3+4i is represented as 5e0.927i
KL
Answered by Kishen L. • Further Mathematics tutor
49878 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸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?
Let A, B and C be nxn matrices such that A=BC-CB. Show that the trace of A (denoted Tr(A)) is 0, where the trace of an nxn matrix is defined as the sum of the entries along the leading diagonal.
Prove by induction that the sum from r=1 to n of (2r-1) is equal to n^2.
Write sin(4x) in terms of sin and cos.