AP Pre-Calculus Trig Identities

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Last updated 1:47 AM on 4/9/25
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25 Terms

1
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sinx=

1/cscx

2
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cosx=

1/secx

3
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tanx=

1/cotx

4
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cscx=

1/sinx

5
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secx=

1/cosx

6
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cotx=

1/tanx

7
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tanx=

sinx/cosx

8
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cotx=

cosx/sinx

9
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sin²x+cos²x=

1

10
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tan²(x) +1=

sec²x

11
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1+cot²x=

csc²x

12
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sin²x=

1-cos²x

13
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cos²x=

1-sin²x

14
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tan²x=

sec²x-1

15
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cot²x=

csc²x-1

16
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sec²x-tan²x=

1

17
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csc²x-cot²x

1

18
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sin(a+b)=

sin(a) cos(b) + cos(a) sin(b)

19
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cos(a+b)=

cos(a) cos(b) - sin(a) sin(b)

20
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sin(a-b)=

sin(a) cos(b) - cos(a) sin(b)

21
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cos(a-b) =

cos(a) cos(b) + sin(a) sin(b)

22
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sin(2x) =

2sinxcosx

23
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cos2x =

cos²x-sin²x

24
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cos2x =

2cos²x - 1

25
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cos2x =

1 - 2sin²x

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