1. 40 – Tangent and Cotangent Values No Calculator
Trigonometric Investigations I
40 – Tangent and Cotangent Values No Calculator

2. First a little arithmetic review:
Note: The 2’s in each fraction will always cancel.
Therefore, when computing tangent/cotangent, we will look only at the NUMERATOR of sine and cosine.

3. (0, 1)
(-1, 0)
(1,0)
(0, -1)

4. (0, 1)
(-1, 0)
(1,0)
(0, -1)

5. Summary of Denominators of 3 – Tangent Values

6. Summary of Denominators of 3 – Cotangent Values

7. Summary of Denominators of 6 – Tangent Values

8. Summary of Denominators of 6 – Cotangent Values

9. Summary of Denominators of 4 – Tangent Values

10. Summary of Denominators of 4 – Cotangent Values

11. Finding Tangent/Cotangent Values
Quadrant: I
Triangle:

12. Finding Tangent/Cotangent ValuesII
Quadrant: II
Triangle:

13. Finding Tangent/Cotangent Values
Axis:
- y-axis
Coordinates:
(0, -1)
- y-axis

14. Finding Tangent/Cotangent Values
Quadrant: IV
Triangle: IV

15. Finding Tangent/Cotangent Values
Quadrant:
III
Triangle:
III

16. Finding Tangent/Cotangent Values
Quadrant: I
Triangle:

17. Finding Tangent/Cotangent Values
Quadrant: IV
Triangle: IV

18. Finding Tangent/Cotangent Values
Axis:
- x-axis
Coordinates:
(-1, 0)
- x-axis

19. Find each of the following trig values, picturing the quadrant/axis and triangle/coordinates without writing either down. Write down only answers.

20. Find each of the following trig values, picturing the quadrant/axis and triangle/coordinates without writing either down. Write down only answers.