Question

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

Answer 1

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

Explanation:

`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)