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Question
Express the following numbers in the form x + iy:
`"e"^(pi/3"i")`
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Solution
z = reiθ
= `"e"^(pi/3"i")`
∴ r = 1, θ = `pi/3`
∴ Polar form of z = r(cos θ + i sin θ)
= `1(cos pi/3 + "i" sin pi/3)`
= `1/2 + sqrt(3)/2"i"`
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