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Hometerminal ray

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# terminal ray

Let an angle whose measure in radians is $\theta$ be placed onto the Cartesian plane such that one of its rays $R_{1}$ corresponds to the nonnegative $x$ axis and one can go from the point $(1,0)$ to the point that is the intersection of the other ray $R_{2}$ of the angle with the circle $x^{2}+y^{2}=1$ by traveling exactly $\theta$ units on the circle. (If $\theta$ is positive, the distance should be traveled counterclockwise; otherwise, the distance $|\theta|$ should be traveled clockwise. Also, note that “other ray” is used quite loosely, as it may also correspond to the nonnegative $x$ axis also.) Then $R_{2}$ is the *terminal ray* of the angle.

The picture below shows the terminal ray $R_{2}$ of the angle $\displaystyle\theta=\frac{2\pi}{3}$.

## Mathematics Subject Classification

51-01*no label found*

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