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phasor as a function of time

voltage in phasor form

phasor domain (voltage)

rectangular form
A = x + jy
polar form
Z = r(cosθ + jsinθ)
φ = arctan(complex/real)
exponential form
Z = Ae-jθA(cosθ+ jsinθ)
A = x + jy
Euler’s identity
ejθ = cosθ + jsinθ