Trig Identities (derivatives, integrals, inverse trig)

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Last updated 7:43 PM on 10/3/26
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22 Terms

1
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sin(x)

dy/dx cos(x)

2
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cos(x)

dy/dx -sin(x)

3
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tan(x)

dy/dx sec^2(x)

4
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cot(x)

dy/dx -csc^2(x)

5
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sec(x)

dy/dx sec(x)tan(x)

6
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csc(x)

dy/dx -csc(x)cot(x)

7
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arcsin(x)

dy/dx 1/sqrt(1-x^2)

8
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arccos(x)

dy/dx -1/sqrt(1-x^2)

9
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arctan(x)

dy/dx 1/(1+x^2)

10
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∫sin(x) dx

-cos(x)+C

11
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∫cos(x) dx

sin(x)+C

12
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∫tan(x) dx

ln|sec(x)|+C

13
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∫cot(x) dx

ln|sin(x)|+C

14
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∫sec(x) dx

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

15
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∫csc(x) dx

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

16
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∫sec^2(x) dx

tan(x)+C

17
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∫csc^2(x) dx

-cot(x)+C

18
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∫sec(x)tan(x) dx

sec(x)+C

19
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∫csc(x)cot(x) dx

-csc(x)+C

20
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∫1/sqrt(1-x^2) dx

arcsin(x)+C

21
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∫-1/sqrt(1-x^2) dx

arccos(x)+C

22
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∫1/(1+x^2) dx

arctan(x)+