Precal

How would you work this out? This is verifying trigonometric equations.

cot^3x+ cotx= cosx(csc^3x)

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asked by Lexi
  1. We don't "work this out"

    I believe this is an identity, so we have to prove LeftSide = RightSide
    If it is an identiy, if we attempt to "solve" it, we end up 0=0


    LS = cot^3 x+ cotx
    = cotx(cot^2 x + 1)
    = (cosx/sinx)((cos^2 x/sin^2 x + 1)
    = (cosx/sinx)(cos^2 x + sin^2 x)/xin^2 x
    = (cosx/sinx)(1/sin^2 x)
    = cosx/sin^3 x
    = cosx csc^3 x
    = RS

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    posted by Reiny

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