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sabika13

  • 3 years ago

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

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  1. hartnn
    • 3 years ago
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    write tan x as sin x/ cos x

  2. hartnn
    • 3 years ago
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    what u get ?

  3. sabika13
    • 3 years ago
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    (sinx+(sinx/cosx))/(cosx+1) idk what to do after it

  4. hartnn
    • 3 years ago
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    lets work on numerator factor out sin x , what u get ?

  5. sabika13
    • 3 years ago
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    i did: (sinx+cosxsinx)/(cosx+1)

  6. hartnn
    • 3 years ago
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    u missed a cos x

  7. hartnn
    • 3 years ago
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    \(\large sin x+sinx/cos x= (sinxcosx+sinx)/cosx \\ \large=sinx(cos x+1)/cos x\) did u get this ?

  8. hartnn
    • 3 years ago
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    that was numerator only, the denominator still is 1+cos x

  9. sabika13
    • 3 years ago
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    howd you get: sinx(xosx+1)/cosx?

  10. sabika13
    • 3 years ago
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    cosx*

  11. hartnn
    • 3 years ago
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    i factored out sin x...

  12. hartnn
    • 3 years ago
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    \(a+b/c= (ac+b)/c\)

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