- #1

lunds002

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## Homework Statement

Let z1 = a (cos (pi/4) + i sin (pi/4) ) and z2 = b (cos (pi/3) + i sin (pi/3))

Express (z1/z2)^3 in the form z = x + yi.

]2. Homework Equations [/b]

## The Attempt at a Solution

__a(cos (pi/4) + i sin (pi/4))__

b (cos (pi/3) + i sin (pi/3))

I then multiplied the top and bottom by the bottom reciprocal : cos (pi/3) - i sin (pi/3) to get

__a(cos (pi/4) x cos (pi/3) + sin (pi/4) sin (pi/3)) + i (sin (pi/4) x cos (pi/3) - sin (pi/3) x cos (pi/4)__