(See Solution) Given: x=r(cos u+i sin u) and y=t(cos v+i sin v) y = t(cos v + i sin v) Task: Prove that the modulus of (xy) is the product of their
Problem: Given:
\(x=r\left( \cos u+i\sin u \right)\) and \(y=t\left( \cos v+i\sin v \right)\) y = t(cos v + i sin v )
Task:
- Prove that the modulus of ( xy ) is the product of their moduli. Show each step of your proof.
- Prove that the amplitude of ( xy ) is the sum of their amplitudes. Show each step of your proof.
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Solution: The downloadable solution consists of 1 pages
Deliverable: Word Document 