1. hypotenuse opposite adjacent Trigonometric Ratios
Sine, Cosine, and Tangent
34°
hypotenuse
opposite
What do you call this side? How about this side? [N.B. Careful here. Several students got caught up on the side that the opposite side was always the shortest leg.]
adjacent

2. opposite hypotenuse = sine hypotenuse adjacent hypotenuse = opposite
Trigonometric Ratios
Sine, Cosine, and Tangent
opposite
hypotenuse =
sine
34°
hypotenuse
adjacent
hypotenuse =
opposite
cosine
Sine, cosine, and tangent are just tools to work on angles. Just like square roots work on numbers and hammers work on nails, sohcahtoa works on angles.
adjacent
opposite
adjacent =
tangent

3. Name the Trig Ratio Self-Check
Click to start

4. Question 1 14 6 A B C D Sine, Cosine, or Tangent? Cosine Tangent Sine
Not enough info

5. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
14 hyp
6 opp
Make sure to label your sides in relation to the reference angle.
Try Again

6. Question 2 10 6 A B C D Sine, Cosine, or Tangent Cosine Sine Tangent
Not Enough Info

7. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
Make sure to label your sides in relation to the reference angle.
10 hyp
6 adj
Try Again

8. Question 3 17 7 A B C D Sine, Cosine, or Tangent? Not Enough Info Sine

9. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
Make sure to label your sides in relation to the reference angle.
17 hyp
7 adj
Try Again

10. Question 4 5 15 A B C D Sine, Cosine, or Tangent? Not Enough Info Sine

11. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
5 opp
15 adj
Make sure to label your sides in relation to the reference angle.
Try Again

12. Question 5 7 6 A B C D Sine, Cosine, or Tangent? Tangent
Not Enough Info C
Sine D
Cosine

13. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
Make sure to label your sides in relation to the reference angle.
7 adj
6 opp
Try Again

14. Question 6 4 10 A B C D Sine, Cosine, or Tangent? Sine Not Enough Info

15. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
Make sure to label your sides in relation to the reference angle.
4 opp
10 hyp
Try Again

16. Question 7 13 9 A B C D Sine, Cosine, or Tangent? Tangent Sine
Not Enough Info D
Cosine

17. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
Make sure to label your sides in relation to the reference angle.
13 hyp
9 opp
Try Again

18. Question 8 12 A B C D Sine, Cosine, or Tangent? Sine Cosine
Not Enough Info D
Tangent

19. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
Make sure to label your sides in relation to the reference angle.
12 opp
Try Again

20. Question 9 A B C D 13 24 Sine, Cosine, or Tangent? Cosine Sine
Not Enough Info D
Tangent

21. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
Make sure to label your sides in relation to the reference angle.
13 adj
24 opp
Try Again

22. Question 10 A B C D 25 20 Sine, Cosine, or Tangent? Not Enough Info

23. Make sure to label your sides in relation to the reference angle.
Wrong Answer!
Make sure to label your sides in relation to the reference angle.
20 ajd
25 hyp
Try Again

24. Congratulations!
You got it!
You are now ready to move on !