Math

Prove that the following Trigonometric Identity is valid:
1/(sin⁡(y)-1)-1/(sin⁡(y)+1)=-2sec^2 (y)

Please any help or clues on how to do this is needed. I have a sheet that tells me valid identities but nowhere on it has info on -2sec^2 (y) I am sooo clueless here :(

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  1. LS = 1/(siny - 1) - 1/(siny + 1)
    using a common denominator:

    = (siny + 1 - (siny - 1)/( sin^2 y - 1)
    = 2/(-cos^2 y)
    = - 2 sec^2 y
    = RS

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  2. THANK YOU REINY!!! however, what does RS mean?

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  3. LS ---> left side
    RS ---> ???

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  4. ooohkay, thank you!! i needed this so bad :D

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