Question

How do you multiply `e^((17 pi )/ 12 ) * e^( pi/4 i )` in trigonometric form?

Answer 1

`color(purple)(=> 60.5825 - 60.5825 i)`

Explanation:

`e^((17pi)/12) * e^((pi/4)i)`

`e^((pi/4)i) = cos (pi/4) + i sin(pi/4)`

`=> 1/sqrt2 + (1/sqrt2) i`

`e^((17pi)/12) ~~ 85.6774`

`e^((17pi)/12) * e^((pi/4)i) = 85.6774 * (0.7071 - 0.7071 i)`

`color(purple)(=> 60.5825 - 60.5825 i)`