How can you use trigonometric functions to simplify $4 e^{\frac{5 π}{3} i}$ $4 e^( ( 5 pi)/3 i )$ into a non-exponential complex number?

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Answer 1 · 2016-01-20T11:52:36

$4 [cos (\frac{5 π}{3}) + i sin (\frac{5 π}{3})]$ $4[ cos((5pi)/3) + isin((5pi)/3)]$

using the relationship : $e^{i θ} = cos (θ) + i sin (θ)$ $e^(itheta) = cos(theta) + isin(theta)$

How can you use trigonometric functions to simplify 4e5π3i 4 e^( ( 5 pi)/3 i ) into a non-exponential complex number?