(a) Write in polar form: find and , with , taking care over the quadrant. (b) Write…

PHYSICS · Subjective · Fermi University Physics · Mathematical Methods for Physics · Foundations of mathematical language · Foundations of mathematical language

Mathematical Methods for Physics, Ch Complex numbers, the complex exponential and phasors

Problem

(a) Write z=−4+3iz=-4+3i in polar form: find ∣z∣|z| and arg⁡z\arg z, with −π<arg⁡z≤π-\pi<\arg z\le\pi, taking care over the quadrant. (b) Write w=2[cos⁡(−2π/3)+isin⁡(−2π/3)]w=2\big[\cos(-2\pi/3)+i\sin(-2\pi/3)\big] in Cartesian form, x+iyx+iy.

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