Asked by Alexis

Find this quotient. Express the result in rectangular form.
9(cos3π/2 + isin3π/2) ÷ 3(cosπ/4 + isinπ/4)
Answered by Damon
e^i theta = cos theta + i sin theta
so
9 e^i(3 pi/2)
-----------------
3 e^i(pi/4)

= 3 e^i(5 pi/4)

= 3 [cos (5 pi/4) + i sin (5 pi/4)]

= 3 (-.707) + 3i(-.707)

or
-(3/2) sqrt 2 - (3/2) i sqrt 2
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