Complex Numbers Flashcards
1
Q
What is Euler’s relation?
A
2
Q
What is Euler’s identity?
A
3
Q
How do you easily get large argument in principle argument form
A
Keep on subtracting multiples of 2pi
4
Q
How do you do the show that equations
A
5
Q
A
Remember the 2i in the identity
6
Q
What are the rules for multiplying / dividing complex numbers?
A
7
Q
A
8
Q
A
9
Q
A
10
Q
A
11
Q
A
12
Q
What do the following result to (using Euler’s relation)?
A
13
Q
What do these simplify to?
A
14
Q
What is the similar exponential identity?
A
15
Q
A
A method is more efficient ngl
16
Q
A
17
Q
A
18
Q
A
19
Q
What is the formula for ?
A
20
Q
What is the formula for infinite
A
21
Q
How could you simplify this expression to include sin/cos?
A
22
Q
A
23
Q
A
24
Q
A
25
26
27
Solving for when a complex number is real
28
29
30
31
32
33
34
35
36
To rationalise/ get rid of e. Times by exact same number by negative argument of e
37
Doing x substitutions and solving
38
Using double angle formula
39
The Z method
40
41
Right angled triangle
42
They might want in this type of form
