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Secant smaller than hypotenuse?

I am having an issue with understanding the concept of a secant and to some extent a tangent. Yes all the basic trig functions are ratios, but the sine ratio represents an angle. I have seen diagrams representing a secant as a line, but it is something more abstract. I have divided the hypotenuse by the adjacent line, but 4.47 / 4 = 1.1... so obviously the value of 1.1 is much smaller than 4.47. Apparently, the secant line is longer than the hypotenuse in all the diagrams that I have seen ...so I am at a lost as to how a secant translates into the longer line.