Trigonometry Help - Mathematicians needed

For the past two days I've had no luck in solving this. I'm gonna be majoring in computer science, so I'm not sure why I can't make this work. Can someone please help me solve this?

If alpha + beta + gamma = 180 (degrees) and cot Q(theta) = cot alpha + cot beta + cot gamma, 0 < Q < 90(degrees)
Show that: sin^3Q = sin(alpha - Q)sin(beta - Q)sin(gamma - Q)

I've rewritten this so many times and tried to make the right side equal the left but have had no luck. Thank you. I'd just like to see how to get where so that I can attempt the next problems.

EDIT:
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Formula For the Problems

Comments

Calls for a double post :). I have finished solving all the problems. Problem IV was surprisingly very easy.
 
good for you! haha i got stuck after a while... gah, that's why happens when you stop touching math for a few years...
 

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