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STEM Excellence Series: Empowering the Next Generation
COTERMINAL ANGLES
Coterminal Angles
Definition Of Coterminal Angles
Two angles drawn in standard position and have a common terminal side are called Coterminal Angles.
Example of Coterminal Angles
In the figure shown, 50° and 410° are coterminal angles.
Video Examples: Coterminal Angles
Solved Example Coterminal Angles
Ques: Identify coterminal angles among the given pairs.
Choices:
A. (60°, - 300°)
B. (60°, 410°)
C. (45°, 135°)
D. (60°, 240°)
Correct Answer: A
Solution:
Step 1: Coterminal angles are angles in the same terminal side.
Step 2: Of the given pairs, (60°, - 300°) is the correct pair.
Quick Summary
- Coterminal angles share the same terminal side.
- Coterminal angles differ by multiples of 360 degrees.
\[ \theta \pm 360n \]
🍎 Teacher Insights
Use visual aids like the unit circle to demonstrate coterminal angles. Emphasize that coterminal angles have the same trigonometric function values.🎓 Prerequisites
- Angles in Standard Position
- Degrees
- Angle Measurement
Check Your Knowledge
Q1: Which angle is coterminal with 60°?
Q2: Which of the following angles is NOT coterminal with 0°?
Frequently Asked Questions
Q: How do I find coterminal angles?
A: Add or subtract multiples of 360 degrees to the given angle.
Q: Are coterminal angles equal?
A: No, they are not equal, but they represent the same position on the coordinate plane.