Mathegoras

Complex numbers › The complex plane › Argument and polar form

Polar form of a complex number

High school · ●○○○○ 10 pts

Write 2−2i2-2i in polar form r(cos⁡θ+isin⁡θ)r(\cos\theta+i\sin\theta) with r>0r>0 and −180∘<θ≤180∘-180^\circ<\theta\le 180^\circ. Find rr, rounded to two decimal places, and θ\theta in degrees.

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polar formmodulus and argumentquadrant analysis