Complex Numbers Flashcards
1
Q
What is the general form of a complex number?
A
a + ib
2
Q
What is Euler’s formula?
A
re^iϴ = r [cos(ϴ) + isin(ϴ)]
3
Q
What is polar form of a complex number?
A
z=re^iϴ
Where r is the magnitude and ϴ is the angle
4
Q
How do you apply a power to a complex number?
A
z^n = r^n e^i(nϴ)
x^n = r^n [cos(nϴ) + isin(nϴ)]
5
Q
How do you find the roots of a complex equation?
A
Every polynomial of degree n has n roots
Starting at k = 0:
z = r^(1/n) e^i((ϴ+2kᴫ)/n)
