Convert Polar form to Normal form

Description of the conversion from polar form to normal form of a complex number

This article describes the conversion from the polar form to the normal form of a complex number.

If the magnitude and angle of a complex number are known, the real and imaginary values can be calculated.

The representation by means of vectors always results in a right triangle, which consists of the two catheters \(a\) and \(b\) and the hypotenuse \(z\). The conversion can therefore be performed using trigonometric functions. With reference to the figure below.

To convert a complex number from polar to normal, the following applies

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