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Thread: Trig proof/verification help

  1. January 28th 2010, 03:23 PM #1
    Mike Clemmons
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    Trig proof/verification help

    Hi. Looking for help on another trig proof. Here's the problem.

    Prove that:

    sec^6x (secx.tanx) - sec^4x (secx.tanx) =sec^5x.tan^3x

    This one's got me baffled. Thanks in Advance,
    Mike Clemmons
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  2. January 28th 2010, 03:36 PM #2
    pickslides
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    What have you tried?

    Can I suggest taking out \sec x \tan x as a common factor first on the LHS

    so

    (\sec x \tan x)(\sec^6 x- \sec^4 x)

    (\sec x \tan x)(\sec^4 x(\sec^2 x- 1))

    (\sec x \tan x)(\sec^4 x(\tan^2 x))

    The rest should be easy...
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