Question

Use the image below to answer the following question. Find the value of sin x° and cos y°. What relationship do the ratios of sin x° and cos y° share? A right triangle is shown with one leg measuring 12 and another leg measuring 5. The angle across from the leg measuring 5 is marked x degrees, and the angle across from the leg measuring 12 is marked y degrees.

Answer 1

Right triangles are triangles with a measure of 90 degrees

The relationship between the ratios of sin x and cos y is that both ratios are equal

How to determine the relationship

From the triangle, the sine and the cosine ratio are:

$\sin(x) = \frac 5{13}$

$\cos(x) = \frac 5{13}$

By comparing the above ratios, we have:

$\sin(x) = \cos(x)$

Hence, the relationship between the ratios of sin x and cos y is that both ratios are equal

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