Vibrations and Waves · Problem 1-6

The superposition of periodic motions — A.P. French

Physics — Waves · complex-exponential

Problem

Given Euler's relation

e^{j\theta} = \cos\theta + j\sin\theta

, find (a) The geometric representation of

e^{-j\theta}

. (b) The exponential representation of

\cos\theta

. (c) The exponential representation of

\sin\theta