Originally Posted by

**BlackBlaze** Express in the form of x + jy:

$\displaystyle sin(\frac{5\pi}{6} + j)$

I know i is the more common way of representing the imaginary number, but I'm an engineer so they say I should get used to j as to not conflict with something else (I can't remember what...)

Anyway, my attempt.

$\displaystyle \frac{e^{j({\frac{5\pi}{6} + j})}-e^{-j({\frac{5\pi}{6} + j})}}{2j}$

$\displaystyle \frac{e^{-1+j\frac{5\pi}{6}}-e^{1-j\frac{5\pi}{6}}}{2j}$

$\displaystyle \frac{e^{-1}(cos(\frac{5\pi}{6})+jsin(\frac{5\pi}{6}))-e(cos(-\frac{5\pi}{6})+jsin(-\frac{5\pi}{6}))}{2j}$

And now I have no idea what to do. Am I on the right track, even?