
Since

, it follows that

where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so
The rotation about the origin that is equivalent to R-200° is; C. R160
<h3>How to find the angle of rotation?</h3>
We are given;
Origin = -200°
Now, even if we add and also subtract a complete rotation of 360° (or even several rotations of 360°), we will want to have the similar rotation.
Thus;
By adding 360° to -200°, we have;
α = -200° + 360°
α = 160°
Read more about angle of rotation at; brainly.com/question/2078551
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all real numbers greater than or equal to 175
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