How to find the terminal point on the unit circle?
Understand the Problem
The question is asking how to determine the terminal point on the unit circle, typically related to trigonometry. The terminal point can be found using the angle and trigonometric functions (sine and cosine) corresponding to that angle.
Answer
(1,0), walk counterclockwise 't' units
The final answer is to start at the point (1,0) on the unit circle and walk counterclockwise for a distance of 't' units. The point you end up at is called the terminal point P(x, y).
Answer for screen readers
The final answer is to start at the point (1,0) on the unit circle and walk counterclockwise for a distance of 't' units. The point you end up at is called the terminal point P(x, y).
More Information
In the unit circle, the distance 't' corresponds to the radian measure of the angle subtended by the arc you walk along. Cosine and sine functions give the x and y coordinates respectively of the terminal point.
Tips
A common mistake is not converting angles to radians when needed, or walking in the wrong direction (clockwise instead of counterclockwise).
Sources
- How to find terminal point on unit circle? | CK-12 Foundation - ck12.org
- Finding Terminal Points - YouTube - youtube.com
- Terminal points on the unit circle | Maharrey - Ohio State University - math.osu.edu
