AP Precalc. Formulas

0.0(0)
Studied by 0 people
call kaiCall Kai
learnLearn
examPractice Test
spaced repetitionSpaced Repetition
heart puzzleMatch
flashcardsFlashcards
GameKnowt Play
Card Sorting

1/48

encourage image

There's no tags or description

Looks like no tags are added yet.

Last updated 10:08 PM on 5/9/26
Name
Mastery
Learn
Test
Matching
Spaced
Call with Kai

No analytics yet

Send a link to your students to track their progress

49 Terms

1
New cards

Geometric sequences WITHOUT first term

gn = gk(r)n-k

2
New cards

Geometric sequences WITH first term

gn = g0(r)n

3
New cards

cos2x + sin2x = ?

1

4
New cards

tan2x + 1 = ?

sec2x

5
New cards

cot2x + 1 = ?

csc2x

6
New cards

sin(a - B)

sin(a)cos(B) + sin(B)cos(a)

7
New cards

sin(a - B)

sin(a)cos(B) - sin(B)cos(a)

8
New cards

cos(a + B)

cos(a)cos(B) - sin(a)sin(B)

9
New cards

cos(a - B)

cos(a)cos(B) + sin(a)sin(B)

10
New cards

sin(2a)

2sin(a)cos(a)

11
New cards

cos(2a)

1 - 2sin2x OR 2cos2x - 1

12
New cards

arithmetic sequences WITH first term

an = a0 + dn

13
New cards

arithmetic sequences WITHOUT first term

an = ak + d(n - k)

14
New cards

distance formula

d = √(x2 - x1)2 + (y2 - y1)2

15
New cards

vertex form

y = a(x - h)2 + k

16
New cards

midpoint formula

( (x1 + x2) / 2, (y1 + y2) / 2 )

17
New cards

(a + b)2

a2 + 2ab + b2

18
New cards

(a - b)2

a2 - 2ab + b2

19
New cards

compound interest

A = P(1 + r/n)nt

20
New cards

continuous growth/decay

y = aekt

21
New cards

sin(x)

cos(90º - x)

22
New cards

arc length formula

s = rθ

23
New cards

sector area formula

A = (1/2)r2θ

24
New cards

tangent functions

  • left to right POSITIVE

  • VA at x = π/2 + πn, where n is any integer

25
New cards

cotangent functions

  • left to right NEGATIVE

  • VA at x = πn, where n is any integer

26
New cards

find period for sin/cos

period = 2π/b

27
New cards

find period for tangent

period = π/b

28
New cards

convert polar to rectangular coordinates

(rcosθ, rsinθ)

29
New cards

convert rectangular to polar coordinates where 0 ≤ θ ≤ 2π

(r, θ)
r = √(x2 + y2) and θ = tan-1(y/x)

30
New cards

convert rectangular complex numbers to polar form for z = a + bi

r = √(a2 + b2) and θ = tan-1(b/a)
rcosθ + risinθ

31
New cards

convert polar complex numbers to rectangular form

rcosθ + risinθ

32
New cards

r = a ± bcosθ

a = b

cardioid

<p>cardioid</p>
33
New cards

r = a ± bcosθ

a > b

dimpled cardioid

<p>dimpled cardioid</p>
34
New cards

r = a ± bcosθ

a < b

inner loop limacon

inner loop size = b - a

<p>inner loop limacon</p><p>inner loop size = b - a</p>
35
New cards

Archimedes’s spiral

r = θ

<p>r = θ</p>
36
New cards

f(x) = polynomial/polynomial

top degree < bottom degree

HA: y = 0

37
New cards

f(x) = polynomial/polynomial

top degree = bottom degree

HA: y = ratio of leading coefficients

38
New cards

f(x) = polynomial/polynomial

top degree > bottom degree

NO HA; only SA

find SA through long division

39
New cards
<p>on a table of values, if input is approaching a number and output is HUGE</p>

on a table of values, if input is approaching a number and output is HUGE

a vertical asymptote is present.

40
New cards

if input gets close to a particular value but the output is also getting close to a finite number…

a hole is present

<p>a hole is present</p>
41
New cards

y = abx

a > 0 & b > 1

<p></p>
42
New cards

y = abx

a > 0 & 0 < b < 1

knowt flashcard image
43
New cards

y = abx

a < 0 & b > 1

knowt flashcard image
44
New cards

y = abx

a < 0 & 0 < b < 1

knowt flashcard image
45
New cards

residual

actual - predicted

46
New cards

a3 - b3

(a - b)(a2 + ab + b2)

47
New cards

a3 + b3

(a + b)(a2 - ab + b2)

48
New cards

secant or sec functions

VA at x = π/2 + πn, where n is any integer

49
New cards

cosecant or csc functions

VA at x = πn, where n is any integer