Use the image below to answer the following question. What relationship do the ratios of sin x° and cos y° share? A right triangle is shown. The two angles that are not 90 degrees are marked x and y. The leg across from angle y measuring 8, another leg across from angle x measuring 6, and the hypotenuse measuring 10. The ratios are opposites (negative 6 over 10 and 6 over 10). The ratios are reciprocals (6 over 10 and 10 over 6). The ratios are both negative (negative 10 over 6 and negative 10 over 6). The ratios are both identical (6 over 10 and 6 over 10).

Answers

The ratios are identical, 6/10. Sine is the ratio of the side opposite the angle to the hypotenuse (opposite/hypotenuse).  The side opposite angle x is 6, and the hypotenuse is 10, so sin x = 6/10. Cosine is the ratio of the side adjacent the angle to the hypotenuse (adjacent/hypotenuse).  The side adjacent angle y is 10, and the hypotenuse is 10, so cos y = 6/10.


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