Manitoba
9. Solve problems that involve two and three right triangles
9.12 Coterminal angles
Chapter 9.12
Coterminal angles
What You'll Learn
Identify coterminal angles as angles sharing the same terminal arm
Draw positive coterminal angles by adding complete 360° rotations
Draw negative coterminal angles by subtracting complete 360° rotations
Apply the general formula θ + 360n° to represent all coterminal angles
Recognize that n can be any integer (positive, negative, or zero)
What You'll Practice
1
Finding positive coterminal angles for given standard angles
2
Finding negative coterminal angles for given standard angles
3
Writing general expressions using θ + 360n° where n is any integer
4
Sketching coterminal angles on the coordinate plane
Why This Matters
Coterminal angles are essential in trigonometry and calculus for understanding periodic functions and solving equations with infinite solutions. You'll use this concept when working with sine, cosine, and other trig functions throughout advanced math courses.
Before You Start — Make Sure You Can:
This Unit Includes
2 Video lessons
Practice exercises
Skills
Coterminal Angles
Standard Position
Terminal Arm
Angle Rotation
Trigonometry
360° Multiples
MB Curriculum Aligned
