/sci/ - Science & Math

Can anyone see how the complex unit j is removed from the denominator?

I know that the two exponentials subtracted and divided by two are reduced to sin of the angle (Eulers theorem)

[math] e^{j \theta} - e^{-j \theta} = \frac{sin(\theta)}{2} [\math]

The thing is that if I apply that rule I end up with the following:

[math] \frac{A}{T} * [ \frac{sin(\frac{m*\pi*t}{T})}{j*m*\frac{\pi}{T}} [\math]

Thus I still need to get rid og the complex j in the denominator. I can only think of performing a complex conjugation, but this will result in sin squared etc. which isn't in the end result of the answer, pic related.

Any help would be gratefull if someone thinks of something hit me up!