Precalculus - Trigonometry Formula Sheet

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29 Terms

1
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csc t

= 1/sin t

2
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cot t

= cos t/sin t

3
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sec t

= 1/cps t

4
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tan t

= sin t/cos t

5
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cot t

= 1/tan t 

6
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sin²t+cos²t

= 1

7
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1+tan²t

= sec²t

8
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1+cot²t

= csc²t

9
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sin(x + y)

= sin x cos y + sin y cox x

10
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sin(x - y)

= sin x cos y - sin y cos x

11
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cos(x + y)

= cos x cos y - sin x sin y

12
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cos(x - y)

= cos x cos y + sin x sin y

13
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tan(x + y)

= tan x + tan y/1 - tan x tan y

14
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tan(x - y)

= tan x - tan y/ 1 + tan x tan y

15
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sin2x

= 2sin x cos x

16
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cos2x

= cos²x - sin²x or 1 - 2sin²x or 2cos²x - 1

17
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tan2x

= 2tanx/1 - tan²x

18
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sin(x/2)

= ±√1-cosx/2

19
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cos(x/2)

= ±√1+cosx/2

20
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tan(x/2)

= 1-cosx/sinx

21
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sin²x

= 1 - cos2x/2

22
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cos²x

= 1+cos2x/2

23
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tan²x

= 1-cos2x/1+cos2x

24
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sinΘ

= opp/hyp

25
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cosΘ

= adj/hyp

26
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tanΘ

= opp/adj

27
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cscΘ

= hyp/opp

28
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secΘ

= hyp/adj

29
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cotΘ

= adj/opp

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