Let z = 0.3(cos(31°) + i sin(31°)) and w = 20(cos(18°) + i sin(18°)).Which statement describes the geometric construction of the product zw on the complex plane?
Answer
A
Stretch z by a factor of 6, then rotate 18° counterclockwise.
B
Stretch z by a factor of 6, then rotate 49° counterclockwise.
C
Stretch z by a factor of 20, then rotate 18° counterclockwise.
D
Stretch z by a factor of 20, then rotate 49° counterclockwise.