trig

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Simplify:
csc^2 x sec x / sec^2 x + csc^2 x

  • trig -

    sec^2 + csc^2 = 1/cos^2 + 1/sin^2 = (sin^2+cos^2)/(sin^2 cos^2) = 1/(sin^2 cos^2)

    csc^2 sec = 1/(sin^2 cos) = cos/(sin^2 cos^2)

    so , doing the division, we end up with just

    cos x

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