Polar-to-Rectangular Conversion
Convert Z_3 = 5 ∠30° to rectangular form.
Using Equations A.3 and A.4, we have
x = |Z| \cos(θ) (A.3)
y = |Z| \sin(θ) (A.4)
x = |Z| \cos(θ) = 5 \cos(30°) = 4.33
and
y = |Z| \sin(θ) = 5 sin(30°) = 2.5
Thus, we can write
Z_3 = 5 ∠30° = x + jy = 4.33 + j2.5