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Prove the rule for finding the quotient of two complex numbers in polar form. Begin the proof as follows, using the conjugate of the denominator's second factor r₁(cose₁+i sin0₁) r₁(cose₁+i sin0₁) r₂(cose₂+isin0₂) r₂(cos0₂+isin0₂) = . r₂(cos0₂-i sin0₂) r₂(cos0₂-i sin0₂)

Prove the rule for finding the quotient of two complex numbers in polar form. Begin the proof as follows, using the conjugate of the denominator's second factor r₁(cose₁+i sin0₁) r₁(cose₁+i sin0₁) r₂(cose₂+isin0₂) r₂(cos0₂+isin0₂) = . r₂(cos0₂-i sin0₂) r₂(cos0₂-i sin0₂)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Prove the rule for finding the quotient of two complex numbers in polar form. Begin the proof as follows, using the conjugate of the denominator's second factor r₁(cos0₁+i sin0₁) r₂(cose₂+i sin0₂) = r₁(cose₁+i sin0₁) r₂(cose₂+i sin0₂) r₂(cose₂-i sin0₂) r₂(cos0₂-i sin0₂)
Transcribed Image Text:Prove the rule for finding the quotient of two complex numbers in polar form. Begin the proof as follows, using the conjugate of the denominator's second factor r₁(cos0₁+i sin0₁) r₂(cose₂+i sin0₂) = r₁(cose₁+i sin0₁) r₂(cose₂+i sin0₂) r₂(cose₂-i sin0₂) r₂(cos0₂-i sin0₂)
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