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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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