The ratios of sin (x) and cos (y) are equal to [tex]\frac{4}{5}[/tex].
RIGHT TRIANGLE
A triangle is classified as a right triangle when it presents one of your angles equal to 90º. A math tool applied for finding angles or sides in a right triangle is trigonometric ratios.
The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs. Thus, for this question, the hypotenuse is equal to 5, while the cathetus are equal to 3 and 4.
The main trigonometric ratios are:
[tex]sin(\alpha )=\frac{opposite\;side}{hypotenuse} \\ \\ cos(\alpha )=\frac{adjacent\;side}{hypotenuse}\\ \\ tan(\alpha )=\frac{sin (\alpha )}{cos(\alpha } =\frac{opposite\;side}{adjacent\;side}[/tex]
The question asks the sin x and cos y, for solving this you should apply the following trigonometric ratios.
Therefore,
[tex]sin (x)=\frac{opposite\; side}{hypotenuse} =\frac{4}{5}[/tex]
and
[tex]cos (y)=\frac{adjacent\; side}{hypotenuse} =\frac{4}{5}[/tex]
Learn more about trigonometric ratios here:
brainly.com/question/11967894
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