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Proving Identities Watch

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    Someone please help me with this identity, I'm really lost on how to solve it

    secx-cosecx = tanx+cotx
    __________ = ________

    tanx-cotx = secx+cosecx

    Or written:

    (secx-cosecx)/(tanx-cotx)=(tanx+cotx)/(secx+cosecx)
    thanks
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    What have you done so far? post working then people can help you out!
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    Try writing them all out in terms of sines and cosines.
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    OK I will post my working now:

    LHS:

    (cosx^-1) + (sinx^-1)//(sinx/cosx) -(cosx/sinx)

    = (sinx-cosx)//(sinxcosx)//sin^2 -cos^2//(sinxcosx)

    then it's = sinx-cosx//sin^2 -cos^2
    Lost here

    also the // means all over
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    someone help, i was up all night
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    Combining the fractions in the numerator and denominator might help, then look for factors and other identities.
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    (Original post by Hopple)
    Combining the fractions in the numerator and denominator might help, then look for factors and other identities.
    yep, I tried that but still ended up at the same place.
    It's confusing which to use as there's 4 different trig functions. thanks anyway
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    Only 2 trig functions there

    Can you multiply through by anything to simplify things?
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    Hint: multiply through by (sin(x)*cos(x)). Simplify and rewrite in terms of sin and cos. Then rewrite 1 as sin^2x+cos^2x. Divide through by sinx*cosx. And you get the RHS. Not sure I have done this in the most elegant of ways -welcome to suggestions
 
 
 
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