Double, Power reducing, Half, Product to Sum, Sum to Product Trigonometric Formulas

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27 Terms

1
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Cos(2x)
cos^2(x)-sin^2(x)
2cos^2(x)-1
1-2sin^2(x)
2
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cos(A-B)
cosAcosB+sinAsinB
3
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cos(A+B)
cosAcosB-sinAsinB
4
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Cos(x) - cos(y)
-2sin[(x + y)/2]sin[(x - y)/2]
5
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Cos(x) + cos(y)
2cos[(x + y)/2]cos[(x - y)/2]
6
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Cos(x)cos(y)
1/2[cos(x-y)+cos(x+y)]
7
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Cos(x/2)
±√[1+cos(x)/2]
8
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Cos^2(x)
\[1+cos(2x)]/2
9
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cot(x)
cos(x)/sin(x)
10
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cot^2(x)+1
csc^2(x)
11
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Sin(2x)
2sin(x)cos(x)
12
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sin(A-B)
sinAcosB-cosAsinB
13
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sin(A+B)
sinAcosB+cosAsinB
14
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Sin(x) - sin(y)
2sin[(x-y)/2]cos[(x+y)/2]
15
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Sin(x) + sin(y)
2sin[(x + y)/2]cos[(x - y)/2]
16
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Sin(x)cos(y)
1/2[sin(x+y)+sin(x-y)]
17
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Sin(x)sin(y)
1/2[cos(x-y)-cos(x+y)]
18
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Sin(x/2)
±√[1-cos(x)/2]
19
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Sin^2(x)
\[1-cos(2x)]/2
20
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sin^2x+cos^2x
1
21
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Tan(2x)
2tan(x)/[1-tan^2(x)]
22
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tan(A-B)
(tanA - tanB) / (1 + tanAtanB)
23
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tan(A+B)
(tanA + tanB)/(1 - tanAtanB)
24
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tan(x)
sin(x)/cos(x)
25
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Tan(x/2)
(1-cosx)/sinx
sinx/(1+cosx)
±√((1-cosx)/(1+cosx))
26
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Tan^2(x)
\[1-cos(2x)]/[1+cos(2x)]
27
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tan^2(x)+1
sec^2(x)