The document reviews trigonometric ratios and their uses. It discusses the mnemonic SOH CAH TOA for remembering the basic trig ratios of sine, cosine, and tangent. It then gives examples of using inverse trig functions to find angles from ratios and direct trig functions to find ratios from angles. It also works through examples of setting up and solving trig equations to find unknown side lengths.

1. Review/Practice Trig Ratios Chapter 11 Section 6

2. What is the mnemonic devise that helps us remember the three basic trig ratios? SOH CAH TOA

3. What is the definition of the sine ratio?

4. What is the definition of the cosine ratio?

5. What is the definition of the tangent ratio?

6. What trigonometric ratio is needed to solve for x? x 19

7. What trigonometric ratio is needed to solve for x? x 4.6

8. What trigonometric ratio is needed to solve for x? x 4.6

9. Finding the Decimal or the Degree If you have a decimal and need the degree use INVERSE. Sin(-1), Cos(-1), Tan(-1) If you have a degree and need the decimal use the STANDARD. Sin, Cos, Tan

10. Find the angle whose tangent is approximately .3057 and round to the nearest degree.

11. Find the angle whose sine is approximately .7986 and round to the nearest degree.

12. Find the angle whose cosine is approximately .1564 and round to the nearest degree.

13. Find the sine of 38 o round to four decimal places.

14. Find the tangent of 80 o round to four decimal places.

15. Find the cosine of 10 o round to four decimal places.

16. Identify the trig function needed to solve: x 18 cosine

17. x 18 Show the evaluation needed to solve:

18. x 18 Solve for x:

19. Identify the trig function needed to solve: x 24 tangent

20. x 24 Show the evaluation needed to solve:

21. Solve for x: x 24

22. Identify the trig function needed to solve: x 18.7 sine

23. Show the evaluation needed to solve: x 18.7

24. Solve for x: x 18.7

25. Identify the trig function needed to solve: 3.5 8.1 cosine

26. Show the evaluation needed to solve: 3.5 8.1

27. Solve for x: 8.1 3.5

28. Identify the trig function needed to solve: 5.9 5.3 tangent

29. Show the evaluation needed to solve: 5.9 5.3

30. Solve for x: 5.9 5.3

31. Finished! Finished! Finished! Be sure to know all of this for your test!