B. Angles in Standard Position
Completion requirements
B. Angles in Standard Position
Investigation |
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Angles in Standard Position
Complete questions 1 to 5 of Part A: Angles in Standard Position on page 75 of Pre-Calculus 11. You may work with another Math 20-1 student, or on your own. |
Angles in Standard Position
As you discovered in the Investigation, an angle in standard position can be created in the Cartesian plane by drawing a ray on the positive \(x\)-axis, beginning at the origin, followed by a second ray that also begins at, and rotates about, the origin. Rotating the second ray in a counter-clockwise direction results in a positive angle, while rotating the ray in a clockwise direction results in a negative angle.
In this course, you will learn about positive angles in standard position for \(0^\circ \le \theta < 360^\circ\). These angles rotate around the origin in a counter-clockwise direction, starting along the positive \(x\)-axis. The ray lying on the positive \(x\)-axis is called the initial arm of angle \(\theta\), and the second ray is called the terminal arm of the angle \(\theta\).