Question

Use the trigonometric ratios since, cosine, and tangent to answer the following questions.

Answer 1

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.