Questions on Algebra: Trigonometry answered by real tutors!

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Question 150898: verify the identity
sin x/1-cot x- cos x/tan x-1 = sin x + cos x: verify the identity
sin x/1-cot x- cos x/tan x-1 = sin x + cos x
Answer by vleith(1174) About Me  (Show Source):
You can put this solution on YOUR website!
Given sin x/(1-cot x) - cos x/(tan x-1) = sin x + cos x prove it
sin x/(1-cot x) - cos x/(tan x-1)
sin x/(1-(cosx/sinx)) - cos x/((sinx/cosx)-1)
sin x/((sinx-cosx)/sinx) - cos x/((sinx - cosx)/cosx)
(sin^2x - cos^2x)/(sinx-cosx)
((sinx - cosx)(sinx + cosx))/(sinx - cosx)
(sinx + cosx)
QED