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Verify the identity.

1/(tanx-secx) + 1/(tanx+secx) = -2tanx

  • Trig -

    recall that
    (a-b)(a+b) = a^2-b^2
    sec^2(x) - 1 = tan^2(x)

    put the fractions over a common denominator and watch the answer fall out.

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