Pre-Calculus & Trigonometry: Meet The Unit Circle

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Beginner

Last updated on April 22, 2025 5:37 am

Learn the unit circle and its quadrants, angles, values, and right triangles. Understand x and y-values, match triangles with values, and master the unit circle. Perfect for beginners in pre-calculus or trigonometry.

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What you’ll learn

  • You will understand and be familiar with the shape and four quadrants of the unit circle.
  • You will understand, recognize and be able to read the angles of the unit circle in both degrees and radians.
  • You will know and recognize the main x- and y-values of the unit circle.
  • You will be able to recognize the three unique right triangles within the unit circle.
  • You will be able to match the unique right triangles with their corresponding x- and y-values.
  • You will be able to recognize the unique x- and y-value pairings of the unit circle.

Topics include the unit circle’s four quadrants, the structure of the unit circle along with a description of its points, an explanation of its radius, degrees, radians, explanation of theta, the rational and non-rational values (both positive and negative), right triangles, orientation of right triangles, relating x-values and y-coordinate points to their specific right triangles, Pythagorean Theorem and value pairings.

No previous knowledge of the above topics is required.

No textbook required

Lessons ordered as follows

  • 1. Meet Your Tutor!

  • 2. Unit Circle: Structure

  • 3. Unit Circle: Angles

  • 4. Unit Circle: Values

  • 5. Unit Circle: Right Triangles

  • 6. Unit Circle: Right Triangles And Their Values

  • 7. Conclusion: Thank You!

Learning Objectives

After completing The Unit Circle, you will

  • understand and be familiar with the shape and four quadrants of the unit circle

  • understand, recognize and be able to read the angles of the unit circle in both degrees and radians

  • will know and recognize the main x-values and y-values of the unit circle

  • be able to recognize the three unique right triangles within the unit circle

  • be able to match the unique right triangles with their corresponding x-values and y-values

  • be able to recognize the unique x-values and y-value pairings of the unit circle

The Unit Circle will become your greatest tool in being able to succeed in your Pre-Calculus and Trigonometry course so do your due diligence to try and retain as much information related to it as possible.

Who this course is for:

  • Beginner learners taking a pre-calculus or trigonometry course for credit or by choice

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    Pre-Calculus & Trigonometry: Meet The Unit Circle
    Pre-Calculus & Trigonometry: Meet The Unit Circle
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