Question

Find cos x and cos y! Please help me out! You don’t need to answer all just what you can :)

Answer 1

7. cos(X) = 3/5 = 0.6

cos(Y) = 4/5 = 0.8

8. cos(X) = 15/17 ≈ 0.8824

cos(Y) = 8/17 ≈ 0.4706

9. cos(X) = 1/2 = 0.5

cos(Y) = (√3)/2 ≈ 0.8660

Explanation:

The trigonometric ratio for cosine is given as follows;

`Cos(\theta) = (Adjacent\, side \, to\, angle)/(Hypothenus\, side \, length \ of\, the \ triangle)`

7. The adjacent leg length to ∠X = 27

The length of the hypotenuse side of the triangle = 45

∴ cos(X) = 27/45 = 3/5 = 0.6

Cos(X) = 3/5 = 0.6

The adjacent leg length to ∠Y = 36

∴ cos(Y) = 36/45 = 4/5 = 0.8

cos(Y) = 4/5 = 0.8

8. The adjacent leg length to ∠X = 15

The length of the hypotenuse side of the triangle = 17

∴ cos(X) = 15/17 ≈ 0.8824

The adjacent leg length to ∠Y = 8

∴ cos(Y) = 8/17 ≈ 0.4706

9. The adjacent leg length to ∠X = 13

The length of the hypotenuse side of the triangle = 26

∴ cos(X) = 13/26 = 1/2 = 0.5

Cos(X) = 1/2 = 0.5

The adjacent leg length to ∠Y = 13·√3

∴ cos(Y) = 13·√3/26 = (√3)/2 ≈ 0.8660

cos(Y) = (√3)/2 ≈ 0.8660.