Question

use the image below to answer the following question: what relationship do the ratios of sin y° and cos x° share? the ratios are both identical. (9/15 and 9/15) the ratios are opposites. (-9/15 and 9/15) the ratios are reciprocals. (9/15 and 15/9) the ratios are both negative. (-15/9 and -9/15)

Explanation:

Step1: Recall sine and cosine definitions

In a right - triangle, $\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$ and $\cos\theta=\frac{\text{adjacent}}{\text{hypotenuse}}$. For $\angle y$, the opposite side is 9 and the hypotenuse is 15, so $\sin y^{\circ}=\frac{9}{15}$. For $\angle x$, the adjacent side to $\angle x$ is 9 and the hypotenuse is 15, so $\cos x^{\circ}=\frac{9}{15}$.

Answer:

The ratios are both identical. ($\frac{9}{15}$ and $\frac{9}{15}$)