Question

the ratio $\frac{opposite}{adjacent}$ describes which function?
a. secant
b. cosine
c. sine
d. tangent

Explanation:

In right - triangle trigonometry, the ratio of the length of the side opposite an angle to the length of the side adjacent to the angle is defined as the tangent of that angle. The secant is the reciprocal of the cosine ($\sec\theta=\frac{1}{\cos\theta}$), the cosine is the ratio of the adjacent side to the hypotenuse ($\cos\theta = \frac{\text{adjacent}}{\text{hypotenuse}}$), and the sine is the ratio of the opposite side to the hypotenuse ($\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$).

Answer:

D. Tangent