Let z is equal to 8 times open paren cosine of open paren pi over 3 close paren plus i sine open paren pi over 3 close paren close paren and w is equal to 3 times open paren cosine of open paren pi over 6 close paren plus i sine open paren pi over 6 close paren close paren . Which statement describes the geometric construction of the product z w on the complex plane?
Answer
A
Stretch z by a factor of 3 and rotate π6 radians counterclockwise.
B
Stretch z by a factor of 24 and rotate π6 radians counterclockwise.
C
Stretch z by a factor of 24 and rotate pi over 2 radians counterclockwise.
D
Stretch z by a factor of 3 and rotate pi over 2 radians counterclockwise.