Question

Find the cosine ratio of angle Θ. Clue: Use the slash symbol ( / ) to represent the fraction bar, and enter the fraction with no spaces. Triangle ABC is shown. AB measures 4. BC measures 5. CA measures 3. The angle formed at point C is marked theta, and angle A is the right angle.

Answer 1

Answer:

Cosθ = 3/5

Step-by-step explanation:

Given:

In ∆ ABC.

AB measures = 4

BC measures = 5

CA measures = 3

The angle formed at point C is marked theta

angle A is the right angle

Find attached the diagram from the given information.

We are to find the cosine ratio. To do this, we would apply SOHCAHTOA in trigonometry

Sine ratio: Sinθ = opposite /hypotenuse

Cosine ratio: Cosθ = adjacent/hypotenuse

Tangent ratio: Tanθ = opposite/adjacent

From the diagram,

adjacent = AC

hypotenuse = BC

Using the above formula,

Cosθ = adjacent/hypotenuse = AC/BC

Cosθ = 3/5