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Mrac [35]
3 years ago
5

There is a clown's face on the top of a spinner. The tip of his hat rotates to (−2, 5) during one spin. What is the cosine value

of this function?

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
6 0

Answer:

The required cosine value of the function is: cos{\theta}=\frac{-2\sqrt{29}}{29}

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 cos{\theta}=\frac{Adjacent}{Hypotenuse}

Substitute the respective values in the above formula.

cos{\theta}=\frac{-2}{\sqrt{29}}

cos{\theta}=\frac{-2\sqrt{29}}{29}

Hence, the required cosine value of the function is: cos{\theta}=\frac{-2\sqrt{29}}{29}

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