3
AssignmentMultiple Choice
Multiply and Divide Complex Numbers
Question 3 • NC-Math 4 CR
Which description of the transformation of z on the complex plane gives the product of z = StartRoot 2 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) ) and w = StartRoot 8 EndRoot (cosine (StartFraction pi Over 4 EndFraction) + I sine (StartFraction pi Over 4 EndFraction) ) ?
Answer
A
scale z by a factor of 4, then rotate counterclockwise radians
B
scale z by a factor of , then rotate counterclockwise radians
C
scale z by a factor of , and then rotate counterclockwise radiansD
scale z by a factor of 4, then rotate counterclockwise radians