Darn it! I always make mistakes like those. Thank you for that

so *I* have

Is this right so far? Because what comes after when I apply Euler's identity again is a god forsaken mess when I try to get the real part.

Just to show I'm doing the work though

Then comes the process of making the denominator real by multiplying by a conjugate over a conjugate. I'd show you the work I've done for that but unfortunately the size limit for the LaTeX images created prohibits me from doing so.

How does this reduce?