The Secant Function

The secant function, abbreviated sec, is called a reciprocal function because it uses the reciprocal of the trig function, cosine. The secant function uses the ratio

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Just as with the cosecant, the ratio of the sides is greater than 1.

A right triangle with sides 5, 12, and 13.
A right triangle with sides 5, 12, and 13.

Using the triangle in the above figure, the two secants are

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