sabika13
prove this identity: (sinx+tanx)/(cosx+1)=tanx



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hartnn
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write tan x as sin x/ cos x

hartnn
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what u get ?

sabika13
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(sinx+(sinx/cosx))/(cosx+1) idk what to do after it

hartnn
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lets work on numerator
factor out sin x , what u get ?

sabika13
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i did: (sinx+cosxsinx)/(cosx+1)

hartnn
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u missed a cos x

hartnn
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\(\large sin x+sinx/cos x= (sinxcosx+sinx)/cosx \\ \large=sinx(cos x+1)/cos x\)
did u get this ?

hartnn
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that was numerator only,
the denominator still is 1+cos x

sabika13
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howd you get: sinx(xosx+1)/cosx?

sabika13
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cosx*

hartnn
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i factored out sin x...

hartnn
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\(a+b/c= (ac+b)/c\)