Chapter 2 - Argand Diagrams Flashcards
1
Q
What is a modulus?
A
A modulus is the length of the line segment is called the modulus of the complex number and is denoted |z| .
2
Q
What is an Argument?
A
The anti-clockwise rotation from the positive real axis.
2
Q
A
3
Q
Arg [z] =
A
tan^-1 (y/x)
4
Q
Top Left quadrant of Argand Diagram =
A
Arctan (b/a) + Pi
5
Q
Top Right quadrant argument of Argand Diagram =
A
Arctan (b/a)
6
Q
Bottom Left quadrant argument of Argand Diagram =
A
Arctan (b/a) - Pi
7
Q
Bottom right quadrant argument of Argand Diagram =
A
Arctan (b/a)
8
Q
Modulus formula =
A
Square root of x^2 + y^2
9
Q
If f(x) = f(-x) then…
A
even function.
10
Q
If f(x) = -f(x) then…
A
odd function.
11
Q
Cos θ =
A
Cos (-θ)
12
Q
Modulus argument form =
A
r(Cos θ + i Sin θ)
13
Q
Sin θ =
A
Sin (-θ)
14
Q
[Z1, Z2] =
A
[Z1] [Z2]
15
Q
arg [Z1, Z2] =
A
arg [Z1] + arg [Z2]
16
Q
arg [Z1/Z2] =
A
arg [Z1] - arg [Z2]
