SOLUTION: (1-(sinx+cosx)^2)/(2sinx)=??

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Question 488109: (1-(sinx+cosx)^2)/(2sinx)=??
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
%281-%28Sinx%2BCosx%29%5E2%29%2F%282Sinx%29
%281-%28Sin%5E2x%2B2SinxCosx%2BCos%5E2x%29%29%2F%282Sinx%29
Get the Sin²x and the Cos²x together because we know an identity
for their sum:
%281-%28Sin%5E2x%2BCos%5E2x%2B2SinxCosx%29%29%2F%282Sinx%29
That identity is Sin²x + Cos²x = 1 so we have
%281-%281%2B2SinxCosx%29%29%2F%282Sinx%29
Then removing the parentheses on top:
%281-1-2SinxCosx%29%2F%282Sinx%29
%28-2SinxCosx%29%2F%282Sinx%29
Cancel 2Sinx
%28-cross%282Sinx%29Cosx%29%2F%28cross%282Sinx%29%29
-Cosx
Edwin