AP Calc BC Trig Derivatives and More

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20 Terms

1
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d/dx(sin(x))

cos(x)

2
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d/dx(cos(x))

-sin(x)

3
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d/dx(tan(x))

secĀ²(x)

4
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d/dx(cot(x))

-cscĀ²(x)

5
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d/dx(sec(x))

sec(x)tan(x)

6
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d/dx(csc(x))

-csc(x)cot(x)

7
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āˆ«sin(x)dx

-cos(x) + C

8
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āˆ«cos(x)dx

sin(x) + C

9
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āˆ«tan(x)

-ln|cos(x)| + C

10
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āˆ«cot(x)dx

ln|sin(x)| + C

11
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āˆ«sec(x)dx

ln|sec(x) + tan(x)| + C

12
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āˆ«csc(x)dx

-ln|csc(x) + cot(x)| + C

13
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sin2(x)+cos2(x)

1

14
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tan2(x)+1

sec2(x)

15
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1+cot2(x)

csc2(x)

16
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sin2(x)

1/2(1-cos(2x))

17
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cos2(x)

1/2(1+cos(2x))

18
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sin(a)sin(b)

1/2[cos(a-b) - cos(a+b)]

19
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cos(a)cos(b)

1/2[cos(a-b) + cos(a+b)]

20
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sin(a)cos(b)

1/2[sin(a+b) + sin(a-b)]