Trig Identities

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25 Terms

1
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cscθ =

1 / sinθ

2
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secθ =

1 / cosθ

3
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cotθ =

1 / tanθ

4
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tanθ =

sinθ / cosθ

5
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cotθ =

cosθ / sinθ

6
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sin²θ + cos²θ =

1

7
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sin²θ =

1 - cos²θ

8
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cos²θ =

1 - sin²θ

9
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1 + tan²θ =

sec²θ

10
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tan²θ =

sec²θ - 1

11
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sec²θ - tan²θ =

1

12
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1 + cot²θ =

csc²θ

13
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cot²θ =

csc²θ - 1

14
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csc²θ - cot²θ =

1

15
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sin(A ± B) =

sinAcosB ± cosAsinB

16
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cos(A ± B) =

cosAcosB ∓ sinAsinB

17
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sin2θ =

2sinθcosθ

18
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cos2θ =

cos²θ - sin²θ OR 2cos²θ - 1 OR 1 - sin²θ

19
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tan2θ =

2tanθ / 1 - tan²θ

20
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sin α * cos β =

½ [sin(α + β) + sin(α - β)]

21
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cos α * sin β =

½ [sin(α + β) - sin(α - β)]

22
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cos α * cos β =

½ [cos(α - β) + cos(α + β)]

23
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sin α * sin β =

½ [cos(α - β) - cos(α + β)]

24
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sin²α =

½ [1 - cos(2α)]

25
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cos²α =

½ [1 + cos(2α)]