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Secant (\sec) is a trigonometric ratio. In a right triangle with an angle \theta,
\sec\theta=\frac{\mbox{hypotenuse}}{\mbox{adjacent}}
\text{Adjacent} is the side of the triangle that is part of angle \theta, and \text{hypotenuse} is the side opposite the right angle.

Properties

The reciprocal of secant is cosine (abbreviated as \cos), while its inverse is \arcsec or \sec^{-1}. Note that secant is not being raised to the power of -1; this is an inverse function, not a reciprocal.

The derivative of \sec(x) is \sec(x) \tan(x), while its antiderivative is \ln|\sec(x) + \tan (x)|.

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