a ray on the positive x-axis is rotated -450°. what is the cosine of the angle formed by this rotation?

Answer 1

To find the cosine of the angle formed by the rotation of -450°, we need to determine the equivalent angle within one full rotation.

-450° is equivalent to -450° + 360° = -90°, since it takes 360° to complete one full rotation.

The angle formed by this rotation is -90°.

Using the unit circle, we can find the cosine of -90°.

For cosine, we evaluate the x-coordinate of the corresponding point on the unit circle.

On the unit circle, the point corresponding to -90° has an x-coordinate of -1.

Therefore, the cosine of the angle formed by this rotation is -1.