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Math Complex plane Formulas

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Math Complex plane Formulas:
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The point M(a,b) represent the complex number a + bi

r = OM = a + bi = √(a2+b2) : modules
φ : argument

tan φ = b / a;
cos φ = a / √(a2+b2)

sin φ = b / √(a2+b2)

 

 

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Trigonometric Form of Complex Number

a + bi = r( cos φ + i sin φ )

[r(cos φ + i sin φ)]n  = rn(cos φ + i sin φ)

 

 

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