|
|
|
Graph |
function |
number of loops |
|
|
|
sin q |
1 |
|
sin 2q |
4 |
|
sin 3q |
3 |
|
sin 4q |
8 |
|
sin 5q |
5 |
|
sin 6q |
12 |
|
sin 7q |
7 |
|
sin 8q |
16 |
|
sin 9q |
9 |
|
sin 10q |
20 |
|
sin 11q |
11 |
|
sin 12q |
24 |
|
sin 13q |
13 |
|
sin 14q |
28 |
|
sin 15q |
15 |
|
sin 16q |
32 |
|
sin 17q |
17 |
|
sin 18q |
36 |
|
sin 19q |
19 |
|
sin 20q |
40 |
|
sin 21q |
21 |
|
sin 22q |
44 |
|
sin 23q |
23 |
|
sin 24q |
48? Does this follow the pattern? This one was quite strange; it did not fit within the normal viewing window. See its viewing window here. |
|
sin 25q |
23 |
|
sin 26q |
44 |
|
sin 27q |
21 |
|
sin 28q |
40 |
|
sin 29q |
19 |
|
sin 30q |
36 |
|
sin 31q |
17 |
|
sin 32q |
32 |
|
sin 33q |
15 |
|
sin 34q |
28 |
|
sin 35q |
13 |
|
sin 36q |
24 |
|
sin 37q |
11 |
|
sin 38q |
20 |
|
sin 39q |
9 |
|
sin 40q |
16 |
|
sin 41q |
7 |
|
sin 42q |
12 |
|
sin 43q |
5 |
|
sin 44q |
8 |
|
sin 45q |
3 |
|
sin 46q |
4 |
|
sin 47q |
1 |
|
sin 48q |
0? For the cosine, this graph is the unit
circle. This one, like 24, did not fit into the
standard viewing window. |
|
sin 49q |
1 Observation: 49 is equal to 47 flipped about
the x-axis. |
|
sin 50q |
4 This is a repeat of 46. Another cycle is beginning, although now, everything is reflected about the x-axis. |
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