< 1 2 >
Polar coordinates
Each point in the complex plane can be described with polar coordinates, which are indicated by
Explanation
Where r is a positive real number that specifies the distance from the origin. The Greek letter θ (theta) is a real number that specifies the angle with the x-axis.
In polar form you can write a complex number as
z = r · eiφ
Example 1
You can see that 2∠30 × 3∠45 = 6∠75.
Details
In trigonometric form you write a complex number as
z = r (cos φ + i sin φ)
Substitution with Euler's formula eiφ = cos φ + i sin φ then gives the polar form
z = r · eiφ