Major Convergence I
The next step is simple, and obvious to the eye. A number a + bi on the complex plane:
Can just as easily be considered trigonometrically as a point on the coordinate plane:
Can just as easily be considered trigonometrically as a point on the coordinate plane:
where cos θ corresponds to a on the real number line, and sin θ is the value of b on the imaginary line.
This leads directly to an expression of complex numbers that makes clear the initimate connection between these two domains. Any complex number:
Can be written trigonometrically as: