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    mollie2539 Posts: 1, Reputation: 1
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    #1

    Dec 4, 2010, 07:57 PM
    how to solve cot^2x - csc^2x?
    Please solve cot^2x - csc^2x =
    depree's Avatar
    depree Posts: 1, Reputation: 1
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    #2

    Dec 4, 2010, 08:35 PM
    cot(x) is defined as adjacent / opposite.
    csc(x) is defined as hypotenuse / opposite
    So csc^2(x) - cot^2(x) = (hyp^2 - adj^2) / opp^2.
    By the pythagorean theorem, (hyp^2 - adj^2) = opp^2
    therefore, csc^2(x) - cot^2(x) = 1
    Therefore, -csc^2(x) + cot^2(x) = -1
    Q.E.D.
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