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Precalc

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1. Prove
sin - cos +1/ sin + cos - 1 = sin +1/cos

2. 1+ sin/ 1- sin = (sec + tan)^2

Thanks!!

  • Precalc - ,

    Your lack of brackets make your equations totally ambiguous.
    Secondly your trig ratios have no argument, sin and cos by themselves are meaningless
    that's like saying

    5 + √

    I happen to know the second one , so
    (1+ sinØ)/(1 - sinØ) = (secØ + tanØ)^2

    LS = (1+ sinØ)/(1 - sinØ) * (1+sinØ)/(1+sinØ)
    = (1 + sinØ)^2 /(1 - sin^2Ø)
    = (1 + 2sinØ + sin^2 Ø)/ cos^2 Ø
    = 1/cos^2 Ø + 2sinØ/cos^2 Ø + sin^2 Ø/cos^2 Ø
    = sec^2 Ø + 2tanØsecØ + tan^2 Ø
    = (secØ + tanØ)^2
    = RS

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