Question 759975
Show that (1+cot^3(x))/(1+cot(x))=cos^2(x)-cot(x)
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use sum of cubes: {{{x^3+y^3=(x+y)(x^2-xy+y^2)}}}
{{{(1+cot^3(x))/(1+cot(x))=(1+cot(x))(1-cot(x)+cot^2(x))/(1+cot(x))
=cot^2(x)+1-cot(x)=csc^2(x)-cot(x)}}}
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.