SOLUTION: verifying identites csc(x)*cos^2(x)+sin(x)=csc(x)

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Question 615618: verifying identites
csc(x)*cos^2(x)+sin(x)=csc(x)
Answer by lwsshak3(11628) About Me  (Show Source):
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verifying identites
csc(x)*cos^2(x)+sin(x)=csc(x)
**
Start with left side:
csc(x)*cos^2(x)+sin(x)
=csc(x)(1-sin^2x)+sin(x)
=cscx-cscxsin^2x+sinx
=cscx-(1/sinx)*sin^2x+sinx
=cscx-sinx+sinx
=cscx
verified:
left side=right side