sine

The sine


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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