Complex Numbers Flashcards

1
Q

What is Euler’s relation?

A
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2
Q

What is Euler’s identity?

A
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3
Q

How do you easily get large argument in principle argument form

A

Keep on subtracting multiples of 2pi

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4
Q

How do you do the show that equations

A
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5
Q
A

Remember the 2i in the identity

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6
Q

What are the rules for multiplying / dividing complex numbers?

A
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7
Q
A
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8
Q
A
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9
Q
A
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10
Q
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11
Q
A
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12
Q

What do the following result to (using Euler’s relation)?

A
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13
Q

What do these simplify to?

A
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14
Q

What is the similar exponential identity?

A
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15
Q
A

A method is more efficient ngl

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16
Q
A
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19
Q

What is the formula for ?

20
Q

What is the formula for infinite

21
Q

How could you simplify this expression to include sin/cos?

27
Q

Solving for when a complex number is real

36
Q
A

To rationalise/ get rid of e. Times by exact same number by negative argument of e

37
Q

Doing x substitutions and solving

38
Q

Using double angle formula

39
Q

The Z method

41
Q
A

Right angled triangle

42
Q

They might want in this type of form