Use the trigonometric ratios since, cosine, and tangent to answer the following questions.
part 1: find the sine, cosine, and tangent ratios of ∠x.

part 2: find the sine, cosine, and tangent ratios of ∠y.

part 3: using your answers from parts 1 and 2, what is significant about the sin∠x and the cos∠y? explain your answer.

part 4: using your answer from parts 1 and 2, how are the tangents of ∠x and ∠y related to each other? explain your answer.

Step-by-step explanation:

Part 1.

The sine of an angle is defined as; Opposite side/the Hypotenuse. From the right angle triangle given; sin x =5/13.

The cosine of an angle is defined as; Adjacent side/Hypotenuse. From the right angle triangle given; cos x =12/13.

The tangent of an angle is defined as; Opposite side/Adjacent side. From the right angle triangle given; tan x =5/12.

Part 2.

We use the same definitions of the trigonometric ratios above;

sin y =12/13

cos y =5/13

tan y =12/5

Part 3.

The sin∠X and the cos∠Y are equal, their value is 5/13. The sine of angle is always equal to the cosine of its complement. In this case, ∠X+∠Y =90 hence ∠X is a complement of ∠Y.

Part 4.

The tangents of ∠X and ∠Y are inverses of each other. The tangent of an angle will always be equal to the inverse or reciprocal of the tangent of its complement.

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph