Download - Repeats every 360 o
–10 –5 5 10
–4
–3
–2
–1
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x
y
Repeats every 360o
2 solutions every 360o
Y = Sin
–10 –5 5 10
–4
–3
–2
–1
1
2
3
4
x
y
Repeats every 360o
2 solutions every 360o
Y = Cos
–10 –5 5 10
–4
–3
–2
–1
1
2
3
4
x
y
Repeats every 180o
1 solution every 180o
Y = Tan
CosTan
Sin All
2 4 6
–4
–3
–2
–1
1
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3
4
x
y
Y = Sin 3
There are 6 solutions except for when sin 3 = 1 or -1
Cos 3 = 0.5602
3 = 55.9o and 360 - 55.9o
3 = 55.9o and 304.1o
= 18.6o, 101.4o, 138.6o, 221.4o, 258.6o, 341.4o
But what about second time round or third?
so 3 = 55.9o and 304.1o or 55.9+360o and 304.1+360o or 55.9+720o and 304.1+720o so 3 = 55.9o and 304.1o or 415.9o and 664.1o or 775.9o and 1024.1o
For 0o 360o
Sin (3 = 0.234
3 = 13.5o and 180 - 13.5o
3 = 13.5o and 166.5o
= 12.8o, 63.8o, 132.8o, 183.8o, 252.8o, 308.8o
But what about second time round or third?
so 3 = 13.5o and 166.5o or 13.5+360o and 166.5+360o or 13.5+720o and 166.5+720o 3 = 13.5o and 166.5o or 373.5o and 526.5o or 733.5o and 886.5o
= 38.5o, 191.5o, 398.5o, 551.5o, 758.5o, 911.5o
For 0o 360o
Sin (3 = 0.234
= 56.2o, 116.2o, 176.2o, 236.2o, 296.2o, 356.2o
But one of the answers is negative so find the next solution going round a fourth time
= 168.5o, 348.5o, 528.5o, 708.5o, 888.5o, 1068.5o
3 = -11.5o and 168.5o or 348.5o and 528.5o or 708.5o and 888.5o
3 = -11.5 + 1080o =1068.5
so 3 = 13.5o,166.5o, or 13.5 + 360o, 166.5 + 360o, 13.5 + 720o, 166.5 +720o
For 0o 360o