SOLUTION: Simplify: csc(x)+cos(x)cot(−x)

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Question 1155752: Simplify: csc(x)+cos(x)cot(−x)
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Duplicate.
I did this 16 seconds before noon today. Central time.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

csc%28x%29%2Bcos%28x%29cot%28-x%29.......use identities: csc%28x%29=1%2Fsin%28x%29, cot%28-x%29=-cot%28x%29, and -cot%28x%29=-cos%28x%29%2Fsin%28x%29

=1%2Fsin%28x%29%2Bcos%28x%29%28-%28cos%28x%29%2Fsin%28x%29%29%29

=1%2Fsin%28x%29-cos%28x%29%28cos%28x%29%2Fsin%28x%29%29

=1%2Fsin%28x%29-cos%5E2%28x%29%2Fsin%28x%29

=%281-cos%5E2%28x%29%29%2Fsin%28x%29..........use identity 1-cos%5E2%28x%29=sin%5E2%28x%29

=sin%5E2%28x%29%2Fsin%28x%29

=sin%28x%29