Calc 2: Trig Identities, Integrals,

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Last updated 5:46 PM on 9/22/26
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32 Terms

1
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Derivative of Sin x

Cos x

2
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Derivative of Cos x

-Sin x

3
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Derivative of Tan x

Sec^2 x

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Derivative of Csc x

-Cscx Cotx

5
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Derivative of Sec x

Secx Tanx

6
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Derivative of Cot x

-Csc^2 x

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Derivative of b^x

b^x lnb

8
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Derivative of Sin^-1 x

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9
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Derivative of Cos^-1 x

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Derivative of Tan^-1 x

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Derivative of Csc^-1 x

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Derivative of Sec^-1 x

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Derivative of Cot^-1 x

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14
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Integral of Sin x

-Cos x + C

15
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Integral of Cos x

Sin x + C

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Integral of Tan x

ln |Sec x| + C

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Integral of Sec^2 x

Tan x + C

18
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Integral of Sec x Tan x

Sec x + C

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Integral of Cot x

ln |Sin x| + C

20
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3 Pythagorean Identities

Sin^2 x + Cos^2 x = 1

Tan^2 x + 1 = Sec^2 x

1 + Cot^2 x = Csc^2 x

<p>Sin^2 x + Cos^2 x = 1 </p><p>Tan^2 x + 1 = Sec^2 x</p><p>1 + Cot^2 x = Csc^2 x</p>
21
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Pythagorean Identity:

Sin^2 x + Cos^2 x =

1

22
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Pythagorean Identity:

Tan^2 x + 1 =

Sec^2 x

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Pythagorean Identity:

1 + Cot^2 x =

Csc^2 x

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Double Angle Identities

Sin(2x) = 2SinxCosx

Cos(2x) = Cos^2x - Sin^2x

Cos(2x) = 2Cos^2x - 1

Cos(2x) = 1 - 2Sin^2x

<p>Sin(2x) = 2SinxCosx</p><p>Cos(2x) = Cos^2x - Sin^2x</p><p>Cos(2x) = 2Cos^2x - 1</p><p>Cos(2x) = 1 - 2Sin^2x</p>
25
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Double Angle Identity:

Sin(2x) =

2SinxCosx

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Double Angle Identity:

Cos(2x) =

Cos^2x - Sin^2x

2Cos^2x - 1

1 - 2Sin^2x

<p>Cos^2x - Sin^2x</p><p>2Cos^2x - 1</p><p>1 - 2Sin^2x</p>
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Power Reduction Formula Sin^2 x

(1 - Cos(2x)) / 2

<p>(1 - Cos(2x)) / 2</p>
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Power Reduction Formula Cos^2 x

(1 + Cos(2x)) / 2

<p>(1 + Cos(2x)) / 2</p>
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IBP Reduction Formula:

Integration Sin^n x dx

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IBP Reduction Formula:

Integration Cos^n x dx

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31
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Integral of Sec x

ln |Sec x + Tan x| + C

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Integral of Csc x

-ln |Csc x + Cot x| + c