For the complex numbers z = 30 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction) ) and w = 6

Question

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.

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Thạch Thảo 3 years 2021-08-09T11:47:08+00:00 2 Answers 127 views 0

Answers ( )

  1. Jezebel
    0
    2021-08-09T11:48:45+00:00
    Reply

    Answer:

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

    Step-by-step explanation:

    EDGE 2020

  2. thienan
    0
    2021-08-09T11:49:00+00:00
    Reply

    Answer:

    A

    Step-by-step explanation:

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