Complex numbers

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Last updated 10:59 AM on 1/17/25
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7 Terms

1
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How do you divide one complex by another

Multiply by the denominators complex conjugate

2
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What is the modulus argument form of a complex number

Z=r(Cos@ + iSin@) or Z=mod(Cos@ + iSin@)

3
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How do you find the Argument

You do Arctan of the imaginary component/ the real component(in radians)

4
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How do you find the modulus

(Real² + Imaginary²)^1/2

5
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Whats the general form of a line in the complex plane

Arg(Z-(a+bi))=@

6
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Whats the general form for a circle in the complex plane

Mod(Z-(a+bi))=r

7
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What is the general form for a cirlce in the complex plane

mod(Z-(a+bi)=radius