SOLUTION: factor the expression and use the fundamental identities to simplify. csc^4x-cot^4x

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Question 699855: factor the expression and use the fundamental identities to simplify.

csc^4x-cot^4x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
csc^4x-cot^4x
csc^4-cot^4
=(1/sin^4)-(cos^4/sin^4)
=(1-cos^4)/sin^4
=(1+cos^2)(1-cos^2)/sin^4
=(1+cos^2)(sin^2)/sin^4
=(1+cos^2)/sin^2