SOLUTION: verify the identity sin x/1-cot x- cos x/tan x-1 = sin x + cos x

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Question 150898: verify the identity
sin x/1-cot x- cos x/tan x-1 = sin x + cos x
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Given sin+x%2F%281-cot+x%29+-+cos+x%2F%28tan+x-1%29+=+sin+x+%2B+cos+x prove it
sin+x%2F%281-cot+x%29+-+cos+x%2F%28tan+x-1%29
sin+x%2F%281-%28cosx%2Fsinx%29%29+-+cos+x%2F%28%28sinx%2Fcosx%29-1%29
sin+x%2F%28%28sinx-cosx%29%2Fsinx%29+-+cos+x%2F%28%28sinx+-+cosx%29%2Fcosx%29
(sin^2x - cos^2x)/(sinx-cosx)
%28%28sinx+-+cosx%29%28sinx+%2B+cosx%29%29%2F%28sinx+-+cosx%29
%28sinx+%2B+cosx%29
QED