Mammoth Memory

Adjacent and the world of cosine

 

NOTE:

Only look at this if you want to know where cosine comes from.

Mathematicians built a world of right-angled triangles where the hypotenuse was always 1m long.

The mathematicians lifted a 1 metre stick up in one degree intervals and measured how far the end lifted off the floor

The mathematicians lifted a 1metre stick up in one degree intervals and measured how far the adjacent length along the floor was.

Fore each degree they measured the opposite side which changed slowly

 And for each degree they measured the length of the adjacent side of the triangle and plotted it on a graph. (The red triangle above shows the stick at 45 degrees, and the adjacent side is 0.707 metres along the floor.)

Each distance can be shown on a graph, you will see a curve form, this is the cosine curve

The length of the adjacent side for each degree increase is called the table/chart of cosine (angle) and is as follows:

NOTE:

Mathematicians can work this cosine curve above into a mathematical formula.

Angle   Adjacent distance (or cosine)
0   1 metre
1   0.99985 metres
2   0.99939 metres
3   0.99863 metres
4   0.99756 metres
5   0.99619 metres
6   0.99452  metres
7   0.99255 metres
8   0.99027 metres
9   0.98769 metres
10   0.98481 metres
11   0.98163 metres
12   0.97815 metres
13   0.97437 metres
14   0.97030 metres
15   0.96593 metres
16   0.96126 metres
17   0.95630  metres
18   0.95106 metres
19   0.94552  metres
20   0.93969  metres
21   0.93358 metres
22   0.92718 metres
23   0.92050 metres
24   0.91355 metres
25   0.90631 metres
26   0.89879 metres
27   0.89101  metres
28   0.88295 metres
29   0.87462 metres
30   0.86603 metres
31   0.85717 metres
32   0.84805 metres
33   0.83867 metres
34   0.82904 metres
35   0.81915 metres
36   0.80901  metres
37   0.79864 metres
38   0.78801  metres
39   0.77715 metres
40   0.76604 metres
41   0.75471 metres
42   0.74314 metres
43   0.73135 metres
44   0.71934 metres
45   0.70711 metres
46   0.69466 metres
47   0.68200 metres
48   0.66913 metres
49   0.65606 metres
50   0.64279 metres
51   0.62932 metres
52   0.61566 metres
53   0.60182 metres
54   0.58779 metres
55   0.57358 metres
56   0.55919 metres
57   0.54464 metres
58   0.52992 metres
59   0.51504 metres
60   0.5 metres
61   0.48481 metres
62   0.46947 metres
63   0.45399 metres
64   0.43837 metres
65   0.42262 metres
66   0.40674 metres
67   0.39073 metres
68   0.37461 metres
69   0.35837 metres
70   0.34202 metres
71   0.32557 metres
72   0.30902 metres
73   0.29237 metres
74   0.27564 metres
75   0.25882 metres
76   0.24192 metres
77   0.22495 metres
78   0.20791 metres
79   0.19081 metres
80   0.17365 metres
81   0.15643 metres
82   0.13917 metres
83   0.12187 metres
84   0.10453 metres
85   0.08716 metres
86   0.06976 metres
87   0.05234  metres
88   0.03490  metres
89   0.01745 metres
90   0 metres