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UNIT

THE. UNIT. CIRCLE. Let’s think back to Geometry…. …and the special right triangles. Now, let’s apply it to the unit circle…. What does “ unit circle ” really mean?. It’s a circle with a radius of 1 unit. What is the equation of the “ unit circle ”?. Let’s begin with an easy family….

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UNIT

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  1. THE UNIT CIRCLE

  2. Let’s think back to Geometry… …and the special right triangles

  3. Now, let’s apply it to the unit circle… What does “unitcircle” really mean? It’s a circle with a radius of 1 unit. What is the equation of the “unitcircle”?

  4. Let’s begin with an easy family… What are the coordinates? Now, reflect the triangle to the second quadrant…

  5. What are the coordinates? Now, reflect the triangle to the third quadrant…

  6. What are the coordinates? Now, reflect the triangle to the fourth quadrant…

  7. What are the coordinates?

  8. Complete the family… . Now, reflect the triangle to the second quadrant.

  9. Now, reflect the triangle to the third quadrant.

  10. What are the coordinates? Now, reflect the triangle to the fourth quadrant.

  11. What are the coordinates?

  12. Let’s look at another “family” Now, reflect the triangle to the second quadrant

  13. What are the coordinates? Now, reflect the triangle to the third quadrant

  14. What are the coordinates? Now, reflect the triangle to the fourth quadrant

  15. What are the coordinates?

  16. Evaluate the six trigonometric functions at each real number. = y = x

  17. Evaluate the six trigonometric functions at each real number. -2

  18. (0, -1) DNE Does Not Exist Evaluate the six trigonometric functions at each real number. = y = -1 = -1 = x = 0 DNE = 0

  19. So, you think you got it now? Sin Csc Cos Sec Tan Cot -1 -1 Evaluate the six trigonometric functions at each real number.

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