PhasorIt is common terminology to call the complex sinusoid's phasor, and its carrier wave.
For a real sinusoid,
reThe phasor magnitude is the amplitude of the sinusoid. The phasor angle is the phase of the sinusoid.
When working with complex sinusoids, as in Eq.(4.11), the phasor representation of a sinusoid can be thought of as simply the complex amplitude of the sinusoid. I.e., it is the complex constant that multiplies the carrier term .
Why Phasors are Important