## 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.

in progress 0
3 months 2021-08-09T11:47:08+00:00 2 Answers 4 views 0