derivatives and integrals of trig functions

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10 Terms

1
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Derivative of sin(x)

\frac{d}{dx} sin(x) = cos(x)

2
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Derivative of cos(x)

\frac{d}{dx} cos(x) = -sin(x)

3
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Derivative of tan(x)

\frac{d}{dx} tan(x) = sec^2(x)

4
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Derivative of csc(x)

\frac{d}{dx} csc(x) = -csc(x)cot(x)

5
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Derivative of sec(x)

\frac{d}{dx} sec(x) = sec(x)tan(x)

6
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Derivative of cot(x)

\frac{d}{dx} cot(x) = -csc^2(x)

7
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Integral of sin(x)

\int sin(x) dx = -cos(x) + C

8
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Integral of cos(x)

\int cos(x) dx = sin(x) + C

9
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Integral of sec^2(x)

\int sec^2(x) dx = tan(x) + C

10
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Integral of csc²

\int csc^2(x) dx = -cot(x) + C