Complex numbers Flashcards
1
Q
How is a coordinate written in modulus argument form
A
Z = (r, θ)
2
Q
X =
A
|z|cosθ
3
Q
Υ =
A
|z|sinθ
4
Q
|z| =
A
Sqr(x^2 + y^2)
5
Q
Tanθ =
A
Y÷X
6
Q
Describe a circle with radius r centre a(x+iy)
A
|z-a|=r
7
Q
Describe the perpendicular bisector of 2 points
A
|z-a| = |z-b|
8
Q
arg(z-a) =
A
θ
9
Q
|zw| =
A
|z||w|
10
Q
Arg (zw)
A
Arg (z) +arg(w)
