Further maths AS level

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10 Terms

1
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What is a complex conjugate?

z=a+bi —> z*=a-bi

2
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Which axis on an argand diagram is real?

X axis

3
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Which axis on an argand diagram is imaginary?

Y axis

4
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What is the formula for the modulus of a complex number?

|z|= √(x²+y²)

5
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What is the formula for the argument of a complex number?

tanθ=y/x

θ=argz

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|z₁z₂|=

|z₁||z₂|

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|z₁/z₂|=

|z₁|/|z₂|

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arg(z₁z₂)

arg(z₁)+ arg(z₂)

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arg(z₁/z₂)

arg(z₁)- arg(z₂)

10
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