PLEASE HELP! 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 4 and another leg measuring 3. The angle across from the leg measuring 3 is marked x degrees, and the angle across from the leg measuring 4 is marked y degrees.

Given:

Given that the right angled triangle. The legs of the triangle are 3 and 4.

The measure of ∠P is x°

The measure of ∠O is y°

We need to determine the value of sin x° and cos y° and to determine the relationship between the two ratios.

Ratio of sin x°:

The ratio of sin x can be determined using the trigonometric ratio.

Thus, we have;

Substituting opp = 3 and hyp = PO, we get;

Thus, the ratio of sin x° is

Ratio of cos y°:

The ratio of cos y can be determined using the trigonometric ratio.

Thus, we have;

Substituting adj = 3 and hyp = PO, we get;

Thus, the ratio of cos y° is

Relationship between the ratios:

From the two ratios, it is obvious that the ratio of sin x° and cos y° are equal.

Thus, the ratios sin x° and cos y° are equivalent.

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step-by-step explanation: