Answer:
The required cosine value of the function is: [tex]cos{\theta}=\frac{-2\sqrt{29}}{29}[/tex]
Step-by-step explanation:
Consider the provided information.
There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin.
Refer the figure 1:
Now from the right triangle, It is clear that the length of opposite side is 5 units and the length of adjacent side is 2 units.
Now use the Pythagoras Theorem, we get,
(2)² + (5)² = Hypotenuse²
4 + 25 = Hypotenuse²
Hypotenuse = √ 29 units.
As we know [tex]cos{\theta}=\frac{Adjacent}{Hypotenuse}[/tex]
Substitute the respective values in the above formula.
[tex]cos{\theta}=\frac{-2}{\sqrt{29}}[/tex]
[tex]cos{\theta}=\frac{-2\sqrt{29}}{29}[/tex]
Hence, the required cosine value of the function is: [tex]cos{\theta}=\frac{-2\sqrt{29}}{29}[/tex]
