SOLUTION: Show that cosx/1-sinx = 1+sinx/cosx

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Question 1064272: Show that cosx/1-sinx = 1+sinx/cosx
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
cosx/1-sinx = 1+sinx/cosx

Show what you have properly: cos(x)/(1-sin(x))=(1+sin(x))/cos(x)

cos%28x%29%2F%281-sin%28x%29%29=%281%2Bsin%28x%29%29%2Fcos%28x%29



Taking left hand side,
%28cos%28x%29%2F%281-sin%28x%29%29%29%28%281%2Bsin%28x%29%29%2F%281%2Bsin%28x%29%29%29

%28cos%28x%29%281%2Bsin%28x%29%29%29%2F%28cos%5E2%28x%29%29

%28cos%28x%29%281%2Bsin%28x%29%29%29%2F%28cos%28x%29cos%28x%29%29

%281%2Bsin%28x%29%29%2Fcos%28x%29--------identical to right side.