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Скачать или смотреть Why do we get the coordinates of a unit circle - Free math help - Live lessons

  • Brian McLogan
  • 2012-01-06
  • 2104
Why do we get the coordinates of a unit circle - Free math help - Live lessons
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Описание к видео Why do we get the coordinates of a unit circle - Free math help - Live lessons

👉 Learn about the points on the unit circle. A unit circle is a circle which radius is 1 and is centered at the origin in the cartesian coordinate system. To construct the unit circle we take note of the points where the unit circle intersects the x- and the y- axis. The points of intersection are (1, 0), (0, 1), (-1, 0) and (0, -1).

There are other points which are necessary to master in the unit circle. These points can be easily identified using the special triangles. A triangle is drawn in the cartesian plane such that the reference angle is at the origin, the positive or negative x-axis represents the point adjacent to the reference angle, and a line parallel to the positive or negative y-axis represents the opposite of the reference angle.

Recall that a special right triangle is a right triangle with the angles 30, 60, 90 degrees or 45, 45, 90 degrees. Also recall that the ratio of the sides of a special triangle as 1, sqrt(3), 2 respectively for the sides opposite the 30, 60, 90 degrees special triangle and 1, 1, sqrt(2) respectively for the sides opposite the 45, 45, 90 degrees special triangle. The points on the unit circle are easily obtained by dividing the legs of the special triangles by the hypothenuse with the leg adjacent to the reference angle as the x-coordinate and the leg opposite the reference angle as the y-coordinate.

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Organized Videos:
✅ Trigonometric Functions and The Unit Circle
   • Trigonometric Functions and The Unit Circle  
✅ The Unit Circle | Learn About
   • The Unit Circle | Learn About  
✅ Points of the Unit Circle | Learn About
   • Points of the Unit Circle | Learn About  
✅ Angles of the Unit Circle | Learn About
   • Angles of the Unit Circle | Learn About  
✅ Trigonometric Functions of the Unit Circle
   • Trigonometric Functions of the Unit Circle  
✅ Find the Point on the Unit Circle
   • Find the Point on the Unit Circle  
✅ Evaluate Trigonometric Functions Using the Unit Circle
   • Evaluate Trigonometric Functions Using the...  
✅ Evaluate the Six Trigonometric Functions Given and Angle
   • Evaluate the Six Trigonometric Functions G...  
✅ Evaluate trigonometric functions using a calculator
   • Evaluate trigonometric functions using a c...  
✅ Evaluate trigonometric functions using identities
   • Evaluate trigonometric functions using ide...  

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

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👨‍👩‍👧‍👧 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/

#trig #unitcircle #brianmclogan

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