ok another one.
i've gotten the left side down to
cos(x/2) - sin(x/2)
cos(x/2) + sin(x/2)
and the final right side equals:
1 - tan(x/2)
1 + tan(x/2)
ps. i'm sorry for making it look so noobish. I am not sure how you guys do that fancy way of writing the equation down. The way Galactus over there answered me.