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Write the trigonometric expression in terms of sine and cosine, and then simplify.
cos u + sin u tan u

  • precalculus -

    cos u + sin u (sin u/cos u)

    cos u + sin^2 u / cos u

    cos^2u/cos u + sin^2 u/cos u

    (cos^2 u + sin^2 u) / cos u

    1/cos u

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