Math Complex plane Formulas

Math Complex plane Formulas

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)

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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