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trig

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prove the identity

sec^2x times cot x minus cot x = tan x

  • trig -

    LS = (1/cos^2 x)(cosx/sinx) - cosx/sinx
    = 1/(cosxsinx) - cosx/sinx
    = (1 - cos^2x)/(sinxcosx)
    = sin^2x/(sinxcox)
    = sinx/cosx
    = tanx
    = RS

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