## Math Complex plane Formulas

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The point M(a,b) represent the complex number a + bi

r = OM = a + bi = √(a^{2}+b^{2}) : modules

φ : argument

tan φ = b / a;

cos φ = a / √(a^{2}+b^{2})

sin φ = b / √(a^{2}+b^{2})

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**Trigonometric Form of Complex Number**

a + bi = r( cos φ + i sin φ )

[r(cos φ + i sin φ)]^{n} = r^{n}(cos φ + i sin φ)

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