SOLUTION: Verify the following identities: ln(csc(x)) = -ln(sin(x)) All I could figure out was that ln(1/sin(x)) = -ln(sin(x))

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Question 928769: Verify the following identities: ln(csc(x)) = -ln(sin(x))
All I could figure out was that ln(1/sin(x)) = -ln(sin(x))

Answer by Alan3354(69443) About Me  (Show Source):
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Verify the following identities: ln(csc(x)) = -ln(sin(x))
All I could figure out was that ln(1/sin(x)) = -ln(sin(x))
ln(1/sin(x)) = -ln(sin(x))
ln(1) - ln(sin(x)) = -ln(sin(x))
0 - ln(sin(x)) = -ln(sin(x))
-ln(sin(x)) = -ln(sin(x))