anonymous
  • anonymous
prove this identity: (sinx+tanx)/(cosx+1)=tanx
Mathematics
chestercat
  • chestercat
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hartnn
  • hartnn
write tan x as sin x/ cos x
hartnn
  • hartnn
what u get ?
anonymous
  • anonymous
(sinx+(sinx/cosx))/(cosx+1) idk what to do after it

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hartnn
  • hartnn
lets work on numerator factor out sin x , what u get ?
anonymous
  • anonymous
i did: (sinx+cosxsinx)/(cosx+1)
hartnn
  • hartnn
u missed a cos x
hartnn
  • hartnn
\(\large sin x+sinx/cos x= (sinxcosx+sinx)/cosx \\ \large=sinx(cos x+1)/cos x\) did u get this ?
hartnn
  • hartnn
that was numerator only, the denominator still is 1+cos x
anonymous
  • anonymous
howd you get: sinx(xosx+1)/cosx?
anonymous
  • anonymous
cosx*
hartnn
  • hartnn
i factored out sin x...
hartnn
  • hartnn
\(a+b/c= (ac+b)/c\)

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