Asked by kat

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 :(
Answered by Reiny
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
Answered by kat
THANK YOU REINY!!! however, what does RS mean?
Answered by Reiny
LS ---> left side
RS ---> ???
Answered by kat
ooohkay, thank you!! i needed this so bad :D
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