Complex no. Flashcards
1
Q
(value of) - i
A
√ -1
2
Q
(value of) - i squared
A
-1
3
Q
(value of) - i cubed
A
-1 i
4
Q
(value of) - i to the power of 4
A
+1
5
Q
(Modulus of) - z= a+bi
A
|z| = √ a squared + b squared
6
Q
(transformation) - complex *real
A
stretching/ contracting
7
Q
(transformation) - complex * complex
A
translation
8
Q
(transformation) - complex + complex
A
rotation
9
Q
(value in degrees) z* i
A
90’
10
Q
(value in degrees) z* i squared
A
180’
11
Q
(value in degrees) z* i cubed
A
270’ etc
12
Q
(equation for) - r
A
√ x2 + y2
13
Q
(equation for) - theta
A
tan -1 y/x
14
Q
z * z (polar)
A
= r*r … theta + theta
15
Q
z/z (polar)
A
= r/r … theta - theta
16
Q
General polar form , a+ bi =
A
r [ cos (theta + 2nπ) + i sin (theta + 2nπ) ]
17
Q
argument x=0 , y=0
A
- π/2 , - π
