Trig Identities

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12 Terms

1
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What is the identity for sin(x + y)?
sin(x)cos(y) + cos(x)sin(y)
2
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What is the identity for sin(x - y)?
sin(x)cos(y) - cos(x)sin(y)
3
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What is the identity for cos(x + y)?
cos(x)cos(y) - sin(x)sin(y)
4
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What is the identity for cos(x - y)?
cos(x)cos(y) + sin(x)sin(y)
5
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What is the identity for tan(x + y)?
(tan(x) + tan(y)) / (1 - tan(x)tan(y))
6
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What is the identity for tan(x - y)?
(tan(x) - tan(y)) / (1 + tan(x)tan(y))
7
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What is the double-angle identity for sin(2x)?
2sin(x)cos(x)
8
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What is the double-angle identity for cos(2x)?
cos²(x) - sin²(x)
9
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What is an alternate form of cos(2x)? (in terms of cos²)
2cos²(x) - 1
10
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What is another alternate form of cos(2x)? (in terms of sin²)
1 - 2sin²(x)
11
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What is the half-angle identity for cos²(x)?
(1 + cos(2x)) / 2
12
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What is the half-angle identity for sin²(x)?
(1 - cos(2x)) / 2