Question
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 :(
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 :(
Answers
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
using a common denominator:
= (siny + 1 - (siny - 1)/( sin^2 y - 1)
= 2/(-cos^2 y)
= - 2 sec^2 y
= RS
THANK YOU REINY!!! however, what does RS mean?
LS ---> left side
RS ---> ???
RS ---> ???
ooohkay, thank you!! i needed this so bad :D
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