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Solve (1-cotx)/(tanx-1).
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Solve (1-cotx)/(tanx-1).

User Hackonteur
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(1 - cot(x))/(tan(x) - 1) = (1 - (1)/(tan(x)))/((1)/(cot(x)) - 1) = ((tan(x))/(tan(x)) - (1)/(tan(x)))/((1)/(cot(x)) - (cot(x))/(cot(x))) = ((tan(x) - 1)/(tan(x)))/((1 - cot(x))/(cot(x))) = (tan(x) - 1)/(tan(x)) * (cot(x))/(1 - cot(x)) = (tan(x) - 1)/(1) * (cot^(2)(x))/(1 - cot(x)) = (cot(x)  - cot^(2)(x))/([tan(x) - 1][1 - cot(x)]) = (cot(x)[1 -  cot(x)])/([tan(x) - 1][1 - cot(x)]) = (cot(x))/(tan(x) - 1)
User Joash
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