1. UNIT
CIRCLE
THE

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

3. 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”?

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

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

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

8. What are the coordinates?

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

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

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

12. What are the coordinates?

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

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

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

16. What are the coordinates?

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

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

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

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