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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


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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