a+bi Form Calculator

A complex number can be represented in several forms.

1. Rectangular Form: \(z = a + bi\)

This is the standard form, where 'a' is the real part and 'b' is the imaginary part.

2. Polar Form: \(z = r(\cos\theta + i\sin\theta)\)

Here, 'r' is the magnitude (or modulus) and '\(\theta\)' is the angle (or argument). The conversion formulas are:

3. Exponential Form: \(z = re^{i\theta}\)

This is Euler's formula. It is equivalent to the polar form, where \(\theta\) must be in radians. The conversion is the same.