## FANDOM

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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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