SOLUTION: sec(x)-tan(x)sin(x)=cos(x) Prove that it is equal

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Question 931079: sec(x)-tan(x)sin(x)=cos(x)
Prove that it is equal

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
sec(x)-tan(x)sin(x)=cos(x)
Prove that it is equal
***
secx-tanxsinx=cosx
Start with left side:
%281%2Fcosx%29-%28sinx%2Fcosx%29%28sinx%29
%281%2Fcosx%29-%28sin%5E2%28x%29%2Fcosx%29
%281-sin%5E2%28x%29%29%2F%28cosx%29=cos%5E2%28x%29%2Fcosx=cosx
verified: left side=right side