Question

Question 2 (Essay Worth 10 points)
(05.01 HC)
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 yº share?

Answer 1

Using relations in a right triangle, it is found that:

sin(x) = cos(y) = 0.6.

Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.

What are the relations in a right triangle?

The relations in a right triangle are given as follows:

• The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

• The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

• The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

Applying the Pythagorean Theorem, the hypotenuse is given by:

h² = 3² + 4²

h² = 25

h = 25.

Hence, applying the definitions:

• sin(x) = 3/5 = 0.6.

• cos(y) = 3/5 = 0.6.

Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.

More can be learned about relations in a right triangle at https://brainly.com/question/26396675

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