Trigonometry!
hyp
                    ote
opposite
                       n   use



             adjacent

           sin    = o/h
    ...
Coordinate Geometry!
O = origin
                         A(3,2)
                O(0,0)

             B(-3,-2)
Trigonometry   + Coordinate
                 Geometry!!
What angle does a line drawn
from the origin to point A(5,4)
make with the x axis?


                    A(5,4)    termina...
4

                5

  2 + 42 = h2
5
25+16 = h 2
√61 = h

                    tan   = 4/5
                          = 38....
draw a terminal arm to Z(6,7)
what are the exact values of
sin , cos , tan

                          sin = 7/√85

                7
  5



            ...
If you are given an angle with no other
information you can draw a terminal arm.
Starting from the +ve x axis rotate the
g...
draw the terminal arm at 120




     related angle ( ) is
     measured to the x axis
     in the same quadrant.
is always measured from the x axis
 r




 P(-5,4)                     A(2,3)


Q(-4,-6)                      B(8,-9)
If sin = 1/2, find all
 possible values of


r = 30°
  = 30˚          2        2
1           1                 1

2 = 150˚
Related angle =
                            r
    is always measured from
  r
the closest x axis




       r            r...
= 260°




          r




   r = 260° - 180° = 80°
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 ...
= 120 °   cos = -1
     1                    2
               °
     2   = 240
                           2

             ...
2                 = 41.81
    sin                           r
                  3
                                      r
...
1
    tan
          2

              r = 26.56


                = 153.44
              1
                = 333.44
1      ...
II   I




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




                            ...
Upcoming SlideShare
Loading in...5
×

Feb 24 25 Trigonometry 1

300

Published on

0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total Views
300
On Slideshare
0
From Embeds
0
Number of Embeds
0
Actions
Shares
0
Downloads
5
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

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
  1. A particular slide catching your eye?

    Clipping is a handy way to collect important slides you want to go back to later.

×