AP Calculus Trig Identites

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49 Terms

1
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1/csc θ

sin θ

2
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1/sin θ

csc θ

3
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1/cos θ

sec θ

4
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1/sec θ

cos θ

5
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1/cot θ

tan θ

6
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1/tan θ

cot θ

7
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sin θ/cos θ

tan θ

8
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cos θ/sin θ

cot θ

9
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sin2 θ + cos2 θ

1

10
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1 - cos2 θ

sin2 θ

11
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1 - sin2 θ

cos2 θ

12
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1 + tan2 θ

sec2 θ

13
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sec2 θ - 1

tan2 θ

14
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sec2 θ - tan2 θ

1

15
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1 + cot2 θ

csc2 θ

16
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csc2 θ - 1

cot2 θ

17
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csc2 θ - cot2 θ

1

18
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sin (π/2 - θ)

cos θ

19
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cos (π/2 - θ)

sin θ

20
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tan (π/2 - θ)

cot θ

21
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sec (π/2 - θ)

csc θ

22
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cot (π/2 - θ)

tan θ

23
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csc (π/2 - θ)

sec θ

24
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sin (-θ)

-sin θ

25
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cos (-θ)

-cos θ

26
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tan (-θ)

-tan θ

27
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csc (-θ)

-csc θ

28
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sec (-θ)

-sec θ

29
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cot (-θ)

-cot θ

30
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sin u cos v + cos u sin v

sin (u + v)

31
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sin u cos v + cos u sin v

sin (u - v)

32
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cos u cos v + sin u sin v

cos (u - v)

33
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cos u cos v - sin u sin v

cos (u + v)

34
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(tan u + tan v)/(1 - tan u tan v)

tan (u + v)

35
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(tan u - tan v)/(1 + tan u tan v)

tan (u + v)

36
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2 sin θ cos θ

sin 2θ

37
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cos2 θ - sin2 θ

cos 2θ

38
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2cos2 θ - 1

cos 2θ

39
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1 - 2sin2 θ

cos 2θ

40
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2tan θ/1-tan2 θ

tan 2θ

41
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(1- cos 2θ)/2

sin2 θ

42
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(1 + cos 2θ)/2

cos2 θ

43
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(1- cos 2θ)/(1 + cos 2θ)

tan2 θ

44
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士 √1 - cos u/ √2

sin u/2

45
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士√1+ cos u/ √2

cos u/2

46
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(1 - cos u)/ sin u

tan u/2

47
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sin u / (1 + cos u)

tan u/2

48
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sin u sin v

1/2 (cos(u − v) − cos(u + v))

49
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1/2 (cos(u − v) + cos(u + v))