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math

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solve each identity algebraically

1)(1-tanx)/(1-cotx)=-tanx

2)(1+cotx)/(1+tanx)=cotx

  • math -

    my usual approach is to start with the "messy" side, and change everything to sines and cosines.

    LS
    =(1- sinx/cosx)/(1 - cosx/sinx)
    = (cosx-sinx)/cosx * (sinx)/ (sinx - cosx)
    = (-1)sinx/cosx
    = -tanx

    perform similar steps for the second one, bet you'll get it

  • math -

    I got (1- sinx/cosx)/(1 - cosx/sinx)
    but how did (1- sinx/cosx) turn to (cosx-sinx)/cosx?

  • math -

    nevermind, found out :) thanks

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