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-   -   I need to verify this trig identity (https://www.askmehelpdesk.com/showthread.php?t=619411)

  • Dec 13, 2011, 04:55 PM
    hines57
    i need to verify this trig identity
    (cot^2x-1)/(1 cot^2x)=1-2sin^2
  • Dec 13, 2011, 05:12 PM
    hines57
    OK I found it by turning the denominator into sec2 then moving it to the top using recipricol identity followed by distribution then used a quotient identity and came to the answer
  • Dec 14, 2011, 06:56 AM
    ebaines
    Good work. In general for these types of problems I find it easiest to convert the tangenet, cotangent, secant, and cosecant functions into their sine and cosine equivalents. I do it this way because I can remember the basic sine and cosine identies. So for this problem I would have done this:



    Multiply through by sin^2x:



    Then apply identities:

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