Trigonometry - Ch.5 Identities
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Last updated 2:43 PM on 4/1/25
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12 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 - tanAtan*B)
6
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tan(a-b)
(tanA - tanB) / (1 + tanAtan*B)
7
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cos 2a
cos²A - sin²A, also 2cos²A - 1, also 1 - 2sin²A
8
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sin 2a
2sinAcosA
9
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tan 2a
2tanA / (1 - tan²A)
10
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cos(A/2)
- sqrt(1 + cosA)/2
11
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sin(A/2)
- sqrt(1 - cosA)/2
12
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tan(A/2)
- sqrt(1 - cosA)/(1 + cosA) or sinA/(1 + cosA) or (1 - cosA)/sinA
