The addition of phasors as mentioned in the last chapter can be simplified using the law of cosines. When two vectors in the complex plane are added the resulting vector magnitude and argument are altered. The summation in a complex ellipse of two conjugate vectors results in a vector along the real axis. The law of cosines is an extension of the Pythagorean theorem for triangles not containing an angle of 90 degrees. All phasors of complex conjugate solutions can be added based on this law. For integer sequences, the powers of these solutions are vectors which align at 0 or 180 degrees on the complex plane.
Board 54- Law of Cosines, Generation of Sequences from Phasors
Perrin Sequences My Chalkboard 