SOLUTION: 1+ tanx / 1- tanx=? Ans)tan(45+x)

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Question 924536: 1+ tanx / 1- tanx=?
Ans)tan(45+x)

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
{1+ tanx / 1- tanx=?
Ans)tan(45+x)
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sin(45+x)=sin45cosx+cos45sinx=(√2/2)cosx+(√2/2)sinx=(√2/2)(cosx+sinx)
cos(45+x)=cos45cosx-sin45sinx=(√2/2)cosx-(√2/2)sinx=(√2/2)(cosx-sinx)
tan(45+x)=sin(45+x)/cos(45+x)=%28cosx%2Bsinx%29%2F%28cosx-sinx%29
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%281%2Btanx%29%2F%281-tanx%29=%28cosx%2Bsinx%29%2F%28cosx-sinx%29=tan%2845-x%29