Double and Half-Angle Identities

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Last updated 1:35 AM on 4/12/23
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13 Terms

1
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cos(a-b)
cosacosb + sinasinb
2
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cos(a+b)
cosacosb - sinasinb
3
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sin(a+b)
sinacosb + cosasinb
4
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sin(a-b)
sinacosb - cosasinb
5
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tan(a+b)
(tana+tanb)/(1-tanatanb)
6
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tan(a-b)
(tana-tanb)/(1+tanatanb)
7
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sin2θ
2sinθcosθ
8
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cos2θ
cos²θ-sin²θ

1-2sin²θ

2cos²θ-1
9
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tan2θ
2tanθ/1-tan²θ
10
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sin(θ/2)
±√\[(1-cosθ)/2\]
11
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cos(θ/2)
±√\[(1+cosθ)/2\]
12
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tan(θ/2)
(1-cosθ)/sinθ
13
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