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 8 and another leg measuring 6. The angle across from the leg measuring 6 is marked x degrees, and the angle across from the leg measuring 8 is marked y degrees.

Answer 1

The relationship that sin x° and cos y° share is that; cos x = sin y and sin x = cos y = 12/13

How to work with Pythagoras Theorem?

From the definitions of trigonometric ratios, we know that;

sin x = opposite leg/hypotenuse

cos y = adjacent leg/hypotenuse

From the Pythagorean theorem, we can find the hypotenuse as;

6² + 8² = hypotenuse²

The cosine is the sine of the complementary angle. Since x and y are complementary angles as they sum up to 90°, we have cos x = sin y and sin x = cos y = 12/13

Read more about Pythagoras Theorem at; brainly.com/question/27572671

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