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Posted by on Monday, December 6, 2010 at 10:18am.

State whether or not the equation is an identity. Prove your statement.

sin(x)/cos(x)+ cos(x)/1+sin(x)=sec(x)

  • Precalculus Help - , Monday, December 6, 2010 at 10:35am

    I think you meant
    sin(x)/cos(x)+ cos(x)/(1+sin(x))=sec(x)

    LS = (sinx(1+sinx) + sinxcosx)/(cosx(1+sinx))
    = (sinx + sin^2x + cos^2x)/(cosx(1+sinx))
    = (sinx + 1)/(cosx(1+sinx))
    = 1/cosx
    = sec x
    = RS

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