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Mutual exclusivity
P(A) + P(B) = P(A or B)
Independence
P(A) x P(B) = P(A and B)
Coding
Mean - includes addition/subtraction
Standard deviation - only multiplication/division
Small angle approximation for sinx
sinx ~ x
Small angle approximation for cosx
cosx ~ 1 - x²/2
Small angle approximation for tanx
tanx ~ x
sin(A+B)
sin(2A)
sinAcosB + cosAsinB
2sinAcosA
cos(A+B)
cos(2A)
cosAcosB - sinAsinB
cos²A - sin²A
1 - 2sin²A
2cos²A - 1
tan(A+B)
tan(2A)
(tanA + tanB)/(1 - tanAtanB)
(2tanA)/(1 - tan²A)
Identity involving tanx and secx
1 + tan²x = sec²x
Identity involving cosecx and cotx
1 + cot²x = cosec²x
Product rule
f’(x) = uv’ + vu’
Quotient rule
f’(x) = (vu’ - uv’)/v²
Integration by parts
∫uv’ = uv - ∫vu’