terminal ray

Let an angle whose in radians is $\\theta$ be placed 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 $\\displaystyle\\theta=\\frac{2\\pi}{3}$ .

单词	TerminalRay
释义	terminal ray Let an angle whose in radians is $\\theta$ be placed 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 $\\displaystyle\\theta=\\frac{2\\pi}{3}$ .
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