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

AI Thread Summary
To prove the identity csc²α - 1 = cos²α / csc²α, the first step involves dividing the left side's numerator by its denominator. The discussion emphasizes using Pythagorean identities, particularly the relationship csc(α) = 1/sin(α). Participants encourage starting with this division to clarify the proof process. The conversation highlights that the responsibility for proving the identity lies with the learner. Understanding these foundational identities is crucial for successfully completing the proof.
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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\alpha-1 = cos2\alpha
________
csc2\alpha
 
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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?
 

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