AP Calc BC - Trig Rules and Identities

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24 Terms

1
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d/dx (sinx)

cosx

2
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d/dx (cosx)

-sinx

3
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d/dx (tanx)

sec²x

4
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d/dx (cotx)

-csc²x

5
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d/dx (secx)

secxtanx

6
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d/dx (cscx)

-cscxcotx

7
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∫cosxdx

sinx + C

8
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∫sinxdx

-cosx + C

9
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∫sec²xdx

tanx + C

10
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∫secxtanxdx

secx + C

11
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∫cscxcotxdx

-cscx + C

12
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∫csc²xdx

-cotx + C

13
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∫tanxdx

-ln|cosx| + C or ln|secx| + C

14
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∫secxdx

ln|secx + tanx| + C

15
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∫cscxdx

ln|cscx - cotx| + C

16
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sin2x

2sinxcosx

17
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cos2x

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

18
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tan2x

2tanx/(1 - tan²x)

19
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sin(x/2)

±√[(1 - cosx)/2]

20
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cos(x/2)

±√[(1 + cosx)/2]

21
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tan(x/2)

(1 - cosx)/sinx

22
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sin²x + cos²x

1

23
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tan²x + 1

sec²x

24
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1 + cot²x

csc²x