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
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