1. Trigonometry!

2. hyp
ote
opposite
n use
adjacent
sin = o/h
cos = a/h
tan = o/a

3. Coordinate Geometry!

4. O = origin
A(3,2)
O(0,0)
B(-3,-2)

5. Trigonometry + Coordinate
Geometry!!

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. 4
5
2 + 42 = h2
5
25+16 = h 2
√61 = h
tan = 4/5
= 38.66

8. draw a terminal arm to Z(6,7)

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. 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. draw the terminal arm at 120
related angle ( ) is
measured to the x axis
in the same quadrant.

12. is always measured from the x axis
r
P(-5,4) A(2,3)
Q(-4,-6) B(8,-9)

13. If sin = 1/2, find all
possible values of
r = 30°
= 30˚ 2 2
1 1 1
2 = 150˚

14. Related angle =
r
is always measured from
r
the closest x axis
r r
r r

15. = 260°
r
r = 260° - 180° = 80°

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. = 120 ° cos = -1
1 2
°
2 = 240
2
r
-1
1-
r °
= 60
r
r
2

18. 2 = 41.81
sin r
3
r
2
3
1 = 221.81
r r
2 2
3 3 2 = 318.2

19. 1
tan
2
r = 26.56
= 153.44
1
= 333.44
1 2
2

20. II I
III IV

21. Find all possible values of ,
such that sin = 1/2, for the
interval {0° ≤ ≤ 360°}
2
1