Question

How do you multiply `e^(( 7 pi )/ 12 i) * e^( 3 pi/2 i )` in trigonometric form?

Answer 1

`e^(ix) = cosx + isinx`
`e^(((7pi)/12)i) = cos((7pi)/12) + isin((7pi)/12)`
`e^(((3pi)/2)i) = cos((3pi)/2) + isin((3pi)/2)`

Explanation:

Euler's identity. Multiply the equivalent trigonometric expressions and simplify.