1. Right Triangle Trigonometry Identify the parts of a right triangle hypotenuse opposite adjacent an acute angle in the triangle ''theta'' θ

2. Right Triangle Trigonometry adjacent hypotenuse opposite Define the six trigonometric Functions

3. Indian Chief SOHCAHTOA

4. Example 1: page 268 Find the values of the six trigonometric functions of θ given the following figure: θ

5. θ sinθ =cscθ= cosθ=secθ= tanθ=cotθ=

6. Assignment #I page 274 # 1-15 odd Quiz Tomorrow

7. Special Angles Isosceles Right Triangle

10. Angle

15. Degree Mode Calculator Usage

17. Type 3: Inverse (means reverse)

18. On the calculator Example 10:

19. Type 4: Example 11: Inverse / Reciprocal Remember how we used the chart to find Now on the calculator * flip everything first!

21. Try these: (2 decimal places)

22. Answers: (2 decimal places)

23. Assignment 4 page 275 # 41-44, 47-52

24. * Go over homework

25. Angle

29. Solving Right Triangles Review Algebra:

30. Example 1: Solve the Right triangle SOHCAHTOA

31. Example 2: Solve the Right triangle SOHCAHTOA

32. Example 3: Solve the Right triangle SOHCAHTOA

33. Example 4: Solve the Right triangle SOHCAHTOA Use exact values - no decimals

34. Homework Assignment 6 page 275 # 53-56

35. Ex 7 page 272 A surveyor is standing 50ft from the base of a large tree. He measures the angle of elevation to the top of the tree as 71.5. How tall is the tree? angle of elevation: angle measured up from horizontal angle of depression: angle measured down from horizontal

36. Example 8: You are 200 yards from a river. Rather than walking directly to the river, you walk 400 yards along a straight path to the river's edge. Find the acute angle θ between this path and the river's edge. see picture θ

37. Example 9 page 273 Find the length of c of the bicycle ramp shown in the picture ) 18. 4 o angle of elevation=18.4 o t op of ramp is 4 feet from the ground c 4 feet

38. θ 9 meters 12meters A 12 meter flagpole casts a 9 meter shadow. Find the angle of elevation to the sun.

39. Assignment # 5 Page 275 # 53-56, 59, 61, 62, 63 challenge problem # 60

41. 4.4 Trig Functions of Any Angle Let θ be an angle in standard position. Point (x,y) is a point on the terminal side of θ. r = distance from the origin to (x,y). r is always positive. r 2 =x 2 +y 2. sinθ =cscθ= cosθ=secθ= tanθ=cotθ=

42. Example 1 Let θ be an angle in standard position. Point (-3,4) is a point on the terminal side of θ. Fine the sine, cosine, and tangent of θ. sinθ =cscθ= cosθ=secθ= tanθ=cotθ=

46. axis angles sinθ = cosθ= tanθ=

48. Assignment # 6 page 284 #1-21 odd ( #21 change π to 180)

49. sinθ =cscθ= cosθ=secθ= tanθ=cotθ=

50. sinθ =cscθ= cosθ=secθ= tanθ=cotθ=

51. sinθ =cscθ= cosθ=secθ= tanθ=cotθ=

53. sinθ = cosθ = tanθ = Axis Angles

55. Angle

56. Coterminal Angles Angles that ''terminate'' in the same position ± 36On

58. Reference Angles the acute angle θ', formed by the terminal side of θ and the closest horizontal ax is.

60. Assignment # 9 page 256 #-27-38 page 285 # 37-40, 45-48

63. sinθ =cscθ= cosθ=secθ= tanθ=cotθ=

64. sinθ =cscθ= cosθ=secθ= tanθ=cotθ=

77. Advanced Math Homework - 4th Six Weeks 1.Page 274 # 1-15 odd *Know your definitions! 2.Page 274 # 17, 18, 21, 22, 25, 26 3.24 Problems on the board using the chart 4.Page 275 # 41-44, 47-52 & 4 problems 5.Study Guide for test #1 6.Page 275 # 53-56 7.Page 276 # 59, 61, 62, 63 Challenge Problem # 60 Worksheet - 2sided (10 points) 8.Page 284 # 1-21 odd (on # 21 change the pi to 180degrees) 9.Page 256 # 27-38 Page 285 # 37-40, 45-48 ****80 Point Quiz 10.Page 285 # 53-58, 67, 69, 91-96 11.# 1-4 on board & study guide 12.Page 256 & 257 # 45-64 all, 77-87 odd To be continued…