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-   -   How to solve cot^2x - csc^2x? (https://www.askmehelpdesk.com/showthread.php?t=531703)

  • Dec 4, 2010, 07:57 PM
    mollie2539
    how to solve cot^2x - csc^2x?
    Please solve cot^2x - csc^2x =
  • Dec 4, 2010, 08:35 PM
    depree
    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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