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

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

• $\sin{x} = \frac{6}{10} = 0.6$

• $\cos{y} = \frac{6}{10} = 0.6$

• Since x and y are complementary angles, we have that sin(xº) = cos(yº).

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.

The hypotenuse in this problem is given as follows:

$h^2 = 6^2 + 8^2$

$h = \sqrt{100}$

h = 10.

The sine of x is:

$\sin{x} = \frac{6}{10} = 0.6$

The cosine of y is:

$\cos{y} = \frac{6}{10} = 0.6$

Since x and y are complementary angles, we have that sin(xº) = cos(yº).

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

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