SOLUTION: prove: (sin theta/1-cos theta) - (1/sin theta) = (1/tan theta)

Algebra ->  Trigonometry-basics -> SOLUTION: prove: (sin theta/1-cos theta) - (1/sin theta) = (1/tan theta)       Log On


   

Question 934073: prove:
(sin theta/1-cos theta) - (1/sin theta) = (1/tan theta)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
prove:
(sin theta/1-cos theta) - (1/sin theta) = (1/tan theta)
%28sinx%2F%281-cosx%29%29-%281%2Fsinx%29=1%2Ftanx
start with left side:
%28sinx%2F%281-cosx%29%29-%281%2Fsinx%29
%28sin%5E2%28x%29-%281-cosx%29%29%2Fsinx%281-cosx%29
%281-cos%5E2%28x%29-1%2Bcosx%29%2Fsinx%281-cosx%29
cosx%28-cosx%2B1%29%2Fsinx%281-cosx%29=cosx%2Fsinx=1%2Ftanx
Verified: left side=right side