What is the definition of secant in terms of triangle ratios?

The secant function is defined in relation to a right triangle as the ratio of the hypotenuse to the length of the adjacent side. In trigonometry, for an angle in a right triangle, the secant (sec) is calculated as sec(θ) = hypotenuse / adjacent. This relationship is fundamental to understanding the various trigonometric ratios and functions used in calculations involving triangles.

The other choices reflect different trigonometric ratios. The first choice (adjacent/hypotenuse) describes the cosine function, the second (hypotenuse/opposite) refers to the cosecant function, and the fourth (opposite/adjacent) pertains to the tangent function. Recognizing the specific definitions of these ratios is critical for mastering the concepts within trigonometry and their applications, particularly in contexts like the Navy Nuclear training program, where precise calculations are necessary.