Modulus of Complex Numbers Let . (a) Prove that (b) Use the trigonometric form for the
Chapter 6, Problem 6.1.1.482(choose chapter or problem)
Modulus of Complex Numbers Let \(z=r(\cos \theta+i \sin \theta)\).
(a) Prove that \(|z|=|r|\).
(b) Use the trigonometric form for the complex numbers \(z_{1}\) and \(z_{2}\) to prove that \(\left|z_{1} \cdot z_{2}\right|=\left|z_{1}\right| \cdot\left|z_{2}\right|\).
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