Finding coterminal angles using the unit circle

Опубликовано: 17 Июль 2026
на канале: Brian McLogan
30,678
178

👉 Learn how to determine co-terminal angles given one angle. An angle is a figure formed by two rays that have a common endpoint. The two rays are called the sides of the angle while the common endpoint is called the vertex of the angle. We measure angles starting from the positive x-axis, i.e. the initial side of an angle measure is usually the positive x-axis. The angle measured in the anti-clockwise direction is called a positive angle while a negative angle is measured in the clockwise direction.

Coterminal angles are angles that have the same initial and terminal sides. Coterminal angles are found by adding/subtracting 360 degrees (for degree angle measure) or 2pi (for radian angle measure) to/from the given angle. Usually, we are looking for the smallest positive and smallest negative coterminal angles since there are infinitely many answers.

👏SUBSCRIBE to my channel here: https://www.youtube.com/user/mrbrianm...

❤️Support my channel by becoming a member:    / @brianmclogan  

🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community:    / mrbrianmclogan  

Organized Videos:
✅ Angles in Trigonometry
   • Angles in Trigonometry  
✅ Solve Problems with Arc Length
   • Solve Problems with Arc Length  
✅ Angles in Trigonometry | Learn about
   • Angles in Trigonometry | Learn about  
✅ Sketch Angles in Standard Position
   • Sketch Angles in Standard Position  
✅ Find the Quadrant of the Angle
   • Find the Quadrant of the Angle  
✅ Find the Reference Angle
   • Find the Reference Angle  
✅ Complement and Supplement of an Angle
   • Complement and Supplement of an Angle  
✅ Convert Radians to Degrees
   • Convert Radians to Degrees  
✅ Convert Degrees to Radians
   • Convert Degrees to Radians  
✅ Convert Degrees to Degree Minute Seconds
   • Convert Degrees to Degree Minute Seconds  
✅ Convert Degree Minute Seconds to Degrees
   • Convert Degree Minute Seconds to Degrees  
✅ Coterminal Angles | Learn About
   • Coterminal Angles | Learn About  
✅ Find Coterminal Angles | 0 and 2pi
   • Find Coterminal Angles | 0 and 2pi  
✅ Find Coterminal Angles | 0 and 360
   • Find Coterminal Angles | 0 and 360  

🗂️ Organized playlists by classes here:    / mrbrianmclogan  

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca...

Connect with me:
⚡️Facebook -   / freemathvideos  
⚡️Instagram -   / brianmclogan  
⚡️Twitter -   / mrbrianmclogan  
⚡️Linkedin -   / brian-mclogan-16b43623  

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog...

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#trigonometry #brianmclogan