AP Calc AB Formulas

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25 Terms

1
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tan x =

sin x / cos x

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cot x =

cos x / sin x

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sec x =

1 / cos x

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csc x =

1/ sin x

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sin2 x + cos2 x =

1

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sec2 x - tan2 x =

1

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2((sin x)(cos x)) =

sin 2x

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cos2 x - sin2 x

cos 2x

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sin (-x) =

-sin x

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cos (-x) =

cos x

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tan (-x) =

-tan (x)

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sin (A+B) =

(sin A)(cos B) + (sin B)(cos A)

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sin (A-B) =

(sin A)(cos B) - (sin B)(cos A)

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cos (A+B) =

(cos A)(cos B)-(sin A)(sin B)

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cos (A-B) =

(cos A)(cos B) + (sin A)(sin B)

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Distance between two points

Square root of (X2-X1)2+(Y2-Y1)2

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Midpoint Formula

(X1 + X2 / 2, Y1+Y2 / 2)

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ln (ab) =

ln (a) + ln (b)

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ln (a/b)

ln (a) - ln (b)

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ln (an) =

n (ln (a))

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ln (1/a)

-ln (a)

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lim f(x) x→a- =

L (from the left)

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lim f(x) x→a+ =

L (from the right)

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Definition of a limit: lim f(x) x→a = L

iff lim f(x) x→a- = L = lim f(x) x→a+

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