What is the fundamental identity used to prove csc2α - 1 = cos2α / csc2α?

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SkiingAlta
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Homework Statement


Okay, so this is some trig I learned last year but have since forgotten. If you can give me the first step, I can solve the rest on my own. The given statement is true and you have to prove why using Pythagorean Identities.

csc2[tex]\alpha[/tex]-1 = cos2[tex]\alpha[/tex]
________
csc2[tex]\alpha[/tex]
 
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The first step is to just divide the numerator on the left side by the denominator. Try it and you will see how it makes sense.
 
You are a little wrong there. I don't have to prove it. YOU have to prove it. csc(alpha)=1/sin(alpha). Just try it. Ok?