How do you multiply $e^(( pi )/ 3 i) * e^( pi/2 i )$ in trigonometric form?

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Answer 1 · 2016-05-03T01:10:11

By using the rule $e^a e^b = e^{a+b}$ .

$e^{i pi/3} e^{i pi/2} = e^{i (pi/3+pi/2)} = e^(i 5 pi/6) = cos(5 pi/6) + i sin(5 pi /6)$ (trigonometric form)

How do you multiply e^(( pi )/ 3 i) * e^( pi/2 i ) e^(( pi )/ 3 i) * e^( pi/2 i ) in trigonometric form?