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Precalculus

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Prove that the equation is an identity.

sec x/(sec x -tan x)=sec^2 x +sec x tan x

  • Precalculus -

    left side
    (1/cos) /(1/cos -sin/cos)

    1/(1 - sin)

    right side
    1/cos^2 + sin/cos^2

    (1+sin)/(1-sin^2)

    (1+sin) / [(1+sin)(1-sin) ]

    1/(1-sin) remarkable :)

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