The secant (sec) The secant is the reciprocal of the cosine. It is the ratio of the hypotenuse to the side adjacent to a given angle in a right triangle.

Review all six trigonometric ratios: sine, cosine, tangent, cotangent, secant, & cosecant.

We're going from two to two plus h, so our change in x is equal to h. So the slope of the secant line, the slope of the secant line, a secant that intersects our graph in two points is going to be change in y …

We know the two points that are on the secant line. It might not be obvious from how they wrote it but let's make a little table here to make that a little bit clearer.

Well, let's think about what happens if we take the secant line, if we're trying to find the slope of the secant line, between this point and this point, if we wanted to find the average rate of change …

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Find the average rate of change of a function, or the slope of a secant line to the graph of the function.

So I want to find the slope of that secant line. Well, to find the slope of the secant line, I just need to find the change in y and the change in x between these two points.

In the context of lines intersecting graphs, the word secant is derived from the Latin word secare, which means "to cut," and has absolutely no connection to the secant trig. function.

What is the slope of a line between two points on a curve? This is called a "secant" line.