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-   -   Verify Trig Identity (https://www.askmehelpdesk.com/showthread.php?t=749072)

  • May 15, 2013, 02:27 PM
    mirandac314
    Verify Trig Identity
    [tan^3(x)-cot^3(x)]/[tan(x)-cot(x)] = sec^2(x)+cot^2(x)
  • May 15, 2013, 02:31 PM
    JudyKayTee
    Yes.
  • May 15, 2013, 02:36 PM
    mirandac314
    Quote:

    Originally Posted by JudyKayTee View Post
    Yes.

    Could you show me the steps? :)
  • May 16, 2013, 06:16 AM
    ebaines
    This one's a bit messy. Start by converting the tangent, cotangent, and secant functions to their sine and cosine equivalents, then simplify the resulting fractions. You'll end up with the left hand side having numerator with sine and cosine functions raised to the 6th power, but then the numerator can be divided by a term in the denominator to significantly simply things.

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