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