, 22.06.2019 21:00 litzy9506

Use the diagram of triangle xyz to answer the questions. what is the length of side xy? what is the value of sin(x)? what is the value of cos(x)? what is the value of tan(x)?

10

4/5

3/5

4/3

step-by-step explanation:

10 4/5 3/5 4/3

Step-by-step explanation:

10

4/5

3/5

4/3

Step-by-step explanation:

correct try it out yourself

side xy = 10

sin(x) = 4/5

cos(x) = 3/5

tan(x) = 4/3

step-by-step explanation:

The missing diagram is attached below

The length of XY is 10 units

The value of sin (X) is

The value of cos (X) is

The value of tan (X) is

Step-by-step explanation:

In Δ XYZ

∵ ∠Z is a right angle

∴ XY is the hypotenuse

∴ XZ and YZ are the legs of the triangle

- Use Pythagoras Theorem to find the length of XY

∵ (XY)² = (XZ)² + (YZ)²

∵ XZ = 6 units

∵ YZ = 8 units

- Substitute them in the formula above

∴ (XY)² = (6)² + (8)²

∴ (XY)² = 36 + 64

∴ (XY)² = 100

- Take √ for both sides

∴ XY = 10 units

In The right Δ there are trigonometry ratios

sin X =

cos X =

tan X =

∵ The side opposite to ∠X is YZ

∵ The side adjacent to ∠ X is XZ

∵ The hypotenuse is XY

∴ sin X =

∴ cos X =

∴ tan X =

∵ YZ = 8 and XY = 10

∴ sin X =

- Reduce it to its lowest term

∴ sin (X) =

∴ cos X =

- Reduce it to its lowest term

∴ cos (X) =

∴ tan X =

- Reduce it to its lowest term

∴ tan (X) =

Other questions on the subject: Mathematics

What properties allow transformation to be used as a problem solving tool
Mathematics, 21.06.2019 18:30, santiagobermeo32
What is the value of x in the following equation? -3x-2=2x+8