Formulae

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14 Terms

1
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Mutual exclusivity

P(A) + P(B) = P(A or B)

2
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Independence

P(A) x P(B) = P(A and B)

3
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Coding

Mean - includes addition/subtraction

Standard deviation - only multiplication/division

4
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Small angle approximation for sinx

sinx ~ x

5
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Small angle approximation for cosx

cosx ~ 1 - x²/2

6
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Small angle approximation for tanx

tanx ~ x

7
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sin(A+B)

sin(2A)

sinAcosB + cosAsinB

2sinAcosA

8
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cos(A+B)

cos(2A)

cosAcosB - sinAsinB

cos²A - sin²A

1 - 2sin²A

2cos²A - 1

9
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tan(A+B)

tan(2A)

(tanA + tanB)/(1 - tanAtanB)

(2tanA)/(1 - tan²A)

10
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Identity involving tanx and secx

1 + tan²x = sec²x

11
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Identity involving cosecx and cotx

1 + cot²x = cosec²x

12
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Product rule

f’(x) = uv’ + vu’

13
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Quotient rule

f’(x) = (vu’ - uv’)/v²

14
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Integration by parts

∫uv’ = uv - ∫vu’