Circular Motion
Since the modulus of the complex sinusoid is constant, it must lie on a circle in the complex plane. For example,



We may call a complex sinusoid
a
positive-frequency sinusoid when
. Similarly, we
may define a complex sinusoid of the form
, with
, to be a
negative-frequency sinusoid. Note that a positive- or
negative-frequency sinusoid is necessarily complex.
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Projection of Circular Motion
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