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?

Answers:

sin(x) = 3/5

cos(y) = 3/5

They are both equal to the same value

Explanation:

Use the Pythagorean theorem to find the hypotenuse

a^2+b^2 = c^2

8^2+6^2 = c^2

100 = c^2

c^2 = 100

c = sqrt(100)

c = 10

The hypotenuse is 10 units long.

Now compute the sine of angle x.

sin(angle) = oppposite/hypotenuse

sin(x) = 6/10

sin(x) = 3/5

Also, find the cosine of angle y

cos(angle) = adjacent/hypotenuse

cos(y) = 6/10

cos(y) = 3/5

It turns out that sin(x) = cos(y) if and only if x+y = 90.

answer: a video game has three difficulty levels: easy, medium, and expert. the game's scoring works in such a way that a player has to score a fixed number of points to advance to the next level, and then the scoring starts over. the total score needed to clear all three difficulty levels is 7,500. two times the number of points needed to clear the easy level is 500 more than the number of points needed to clear the medium level. twice the number of points needed to clear the medium difficulty level is 1,500 more than the number of points needed to clear the expert level. if x, y, and z represent the easy, medium, and expert levels, respectively, and a is the coefficient matrix of the system of equations modeling this situation, identify the inverse matrix, a-1, and the solution matrix, x, of the system of equations.

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