Trigonometry

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67 Terms

1
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sin 30°
1/2
2
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sin 45°
1/√2
3
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sin 60°
√3/ 2
4
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cos 30°
√3/ 2
5
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cos 45°
1/√2
6
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cos 60°
1/2
7
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tan 30°
1/√3
8
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tan 45°
1
9
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tan 60°
√3
10
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pythagorean identities (list all)
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11
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𝝅
180°
12
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𝝅/2
90°
13
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𝝅/3
60°
14
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𝝅/4
45°
15
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𝝅/6
30°
16
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sin 90°
1
17
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cos 90°
0
18
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tan 90°
undefined
19
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sin 𝝅/2
1
20
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sin 𝝅/6
1/2
21
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sin 𝝅/4
√2/ 2
22
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sin 𝝅/3
√3/ 2
23
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cos 𝝅/2
0
24
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cos 𝝅/6
√3/ 2
25
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cos 𝝅/4
√2/ 2
26
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cos 𝝅/3
1/2
27
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tan 𝝅/2
undefined
28
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tan 𝝅/6
1/√3
29
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tan 𝝅/4
1
30
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tan 𝝅/3
√3
31
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csc 𝜃
1 / sin 𝜃
32
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sec 𝜃
1 / cos 𝜃
33
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cot 𝜃
1 / tan 𝜃
34
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sin 𝜃
opp / hyp
35
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cos 𝜃
adj / hyp
36
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tan 𝜃
opp / adj
37
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Law of Sines
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38
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Law of Cosines
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39
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y = sin x (graph)
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40
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y = cos x (graph)
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41
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y = tan x (graph)
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42
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y = csc x (graph)
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43
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y = sec x (graph)
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44
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y = cot x (graph)
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45
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sin² 𝜃 + cos² 𝜃 =
1
46
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sec² 𝜃 - tan² 𝜃 =
1
47
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csc² 𝜃 - cot² 𝜃 =
1
48
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sin (90 - 𝜃) =
cos 𝜃
49
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cos (90 - 𝜃) =
sin 𝜃
50
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tan (90 - 𝜃) =
cot 𝜃
51
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sin (x + y) =
sin x cos y + cos x sin y
52
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sin (x - y) =
sin x cos y - cos x sin y
53
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cos (x + y) =
cos x cos y - sin x sin y
54
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cos (x - y) =
cos x cos y + sin x sin y
55
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tan (x + y) =
(tan x + tan y)/(1 - tan x tan y)
56
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tan (x - y) =
(tan x - tan y)/(1 + tan x tan y)
57
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sin (2x) =
2 sin x cos x
58
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cos (2x) =
= cos² x - sin² x
= 2 cos² x - 1
= 1 - 2 sin² x
59
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tan (2x) =
(2 tan x)/(1 - tan² x)
60
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sin² x =
(1 - cos(2x) )/2
61
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cos² x =
(1 + cos(2x) )/2
62
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sin 0°
0
63
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cos 0°
1
64
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tan 0°
0
65
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triangle area formula
1/2 ABsin(c)
66
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cos rule for side
c^2 = a^ + b^2 - 2ab cos(c)
67
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cos rule for angle
cos C = (a^2 +b^2 - c^2)/2ab