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# Feb 24 25 Trigonometry 1

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### Feb 24 25 Trigonometry 1

1. 1. Trigonometry!
2. 2. hyp ote opposite n use adjacent sin = o/h cos = a/h tan = o/a
3. 3. Coordinate Geometry!
4. 4. O = origin A(3,2) O(0,0) B(-3,-2)
5. 5. Trigonometry + Coordinate Geometry!!
6. 6. What angle does a line drawn from the origin to point A(5,4) make with the x axis? A(5,4) terminal arm
7. 7. 4 5 2 + 42 = h2 5 25+16 = h 2 √61 = h tan = 4/5 = 38.66
8. 8. draw a terminal arm to Z(6,7)
9. 9. what are the exact values of sin , cos , tan sin = 7/√85 7 5 cos = 6/√85 √8 6 tan = 7/6 6 2 + 72 = h2 h = √85 36+49 = h 2
10. 10. If you are given an angle with no other information you can draw a terminal arm. Starting from the +ve x axis rotate the given degrees
11. 11. draw the terminal arm at 120 related angle ( ) is measured to the x axis in the same quadrant.
12. 12. is always measured from the x axis r P(-5,4) A(2,3) Q(-4,-6) B(8,-9)
13. 13. If sin = 1/2, find all possible values of r = 30° = 30˚ 2 2 1 1 1 2 = 150˚
14. 14. Related angle = r is always measured from r the closest x axis r r r r
15. 15. = 260° r r = 260° - 180° = 80°
16. 16. Exercise 8 1-6 new stuff 11 and 13 = good review for test Exercise 9 1, 10, 11, 12 new stuff 4, 9 = good review for the test
17. 17. = 120 ° cos = -1 1 2 ° 2 = 240 2 r -1 1- r ° = 60 r r 2
18. 18. 2 = 41.81 sin r 3 r 2 3 1 = 221.81 r r 2 2 3 3 2 = 318.2
19. 19. 1 tan 2 r = 26.56 = 153.44 1 = 333.44 1 2 2
20. 20. II I III IV
21. 21. Find all possible values of , such that sin = 1/2, for the interval {0° ≤ ≤ 360°} 2 1