SOLUTION: Show that (1+cot^3(θ))/(1+cot(θ))=cos^2(θ)-cot(θ)

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Question 759975: Show that (1+cot^3(θ))/(1+cot(θ))=cos^2(θ)-cot(θ)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Show that (1+cot^3(x))/(1+cot(x))=cos^2(x)-cot(x)
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use sum of cubes: x%5E3%2By%5E3=%28x%2By%29%28x%5E2-xy%2By%5E2%29

Is it possible there is a typo error wherein cos^2(x) should have been csc^2(x) in the original posting? Otherwise, I'm not able to find the solution.