Use complex exponentials (i.e., phasors) to show the following trigonometric identities:
(a) cos(θ1 + θ2) = cos(θ1) cos(θ2) − sin(θ1) sin(θ2)
(b) cos(θ1 − θ2) = cos(θ1) cos(θ2) + sin(θ1) sin(θ2)
Hint: Write the left-hand side of each equation as the real part of a complex exponential.
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