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| .

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2
Q

What is an Argument?

A

The anti-clockwise rotation from the positive real axis.

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2
Q
A
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3
Q

Arg [z] =

A

tan^-1 (y/x)

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4
Q

Top Left quadrant of Argand Diagram =

A

Arctan (b/a) + Pi

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5
Q

Top Right quadrant argument of Argand Diagram =

A

Arctan (b/a)

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6
Q

Bottom Left quadrant argument of Argand Diagram =

A

Arctan (b/a) - Pi

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7
Q

Bottom right quadrant argument of Argand Diagram =

A

Arctan (b/a)

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8
Q

Modulus formula =

A

Square root of x^2 + y^2

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9
Q

If f(x) = f(-x) then…

A

even function.

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10
Q

If f(x) = -f(x) then…

A

odd function.

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11
Q

Cos θ =

A

Cos (-θ)

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12
Q

Modulus argument form =

A

r(Cos θ + i Sin θ)

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13
Q

Sin θ =

A

Sin (-θ)

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14
Q

[Z1, Z2] =

A

[Z1] [Z2]

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15
Q

arg [Z1, Z2] =

A

arg [Z1] + arg [Z2]

16
Q

arg [Z1/Z2] =

A

arg [Z1] - arg [Z2]