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Lady_Fox [76]
3 years ago
8

For the complex numbers z = 30 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction)

) and w = 6 (cosine (StartFraction pi Over 8 EndFraction) + I sine (StartFraction pi Over 8 EndFraction) ) , which geometric transformation of z on the complex plane describes the quotient StartFraction z Over w EndFraction ?
Scale z by a factor of One-sixth, then rotate clockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of 6, then rotate clockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of One-sixth, then rotate counterclockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of 6, then rotate counterclockwise by StartFraction pi Over 8 EndFraction radians.
Mathematics
2 answers:
dimulka [17.4K]3 years ago
5 0

Answer:

A. Scale z by a factor of 1/6, then rotate clockwise by pi/8 radians.

Step-by-step explanation:

EDGE 2020

scoundrel [369]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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