SOLUTION: Need to verify the identity. -cot t + sin t/1-cos t = csc t

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Question 459996: Need to verify the identity.
-cot t + sin t/1-cos t = csc t
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Need to verify the identity.
-cot t + sin t/1-cos t = csc t
..
starting with left side
-cot t + sin t/1-cos t
-cos t/sin t+sin t/1-cos t
LCD: sin t(1-cos t)
=-cos t+cos^2t+sin^2t/sin t(1-cos t)
=1-cos t/sin t(1-cos t)
=1/sin t=csc t
verified: left side = right side