Show Menu

Pre Calc Cheat Sheet by

math

Sequences

Arithmetic Sequence
An = A1 + D(n - 1)
Geometric Sequence
An = A1(rn-1)
Finite Sum
Sn = A1(1 - rn) / 1 - r
Infinite Sum (|r| < 1)
A1 / 1 - r

Volumes

Sphere
V = (4/3)πr2
A = 4πr2
Cone
V = (1/3)π­r2h
Pyramid
V = (1/3)bh
Cylinder
πr2h

Sin/Cos

Law of Cosines
c2 = a2+b­2­-2a­b(c­os(C))
Arc Length
L = rθ
Double angle:
sin2x = 2cosxsinx
cos2x = cos2x - sin2x
cos2x = 2cos2x - 1
cos2x = 1 - 2sin2x
tan2x = 2tanx / 1 - tan2x
Half angle:
sinx/2 = +/- sqrt((1 - cosx) / 2)
cosx/2 = +/- sqrt((1 + cosx) / 2)
tanx/2 = +/- sqrt((1 - cosx) / (1 + cosx))
tanx/2 = (1 - cosx) / sinx

Vertical line test

If a vertical line intersects a supposed function at two different points, it is not a function.

Probab­ility

Combin­ations:
Order doesn't matter
8c5 = 8! / (8-5)!5!
Permut­ations:
Order matters
8p5 = 8! / 5!
Probab­ility:
P(A and B) = P(A) * P(B)
P(A or B) = P(A) + P(B) - P(A and B)
If A and B are mutually exclusive:
P(A or B) = P(A) + P(B)
 

Coordi­nates

Point-­slope form
y - y1 = m(x - x1)
Vertex of parabola:
x = -b/2a

Parabola

Vertex
(h, k)
Focus
(h, k +/- p)
Directrix
y = k - p

Ellipse

Center
(h, k)
Vertices
(h, k +/- a)
Foci
(h, k +/- c)
Major Axis
2a
Minor Axis
2b

Hyperbola

Center
(h, k)
Vertices
(h, k +/- a)
Foci
(h, k +/- c)
Asymptotes
y = k +/- (a/b)(x-h)

Sin/Co­s/T­angent equations

Asin(B­x+C)+D
A = Amplitude
B = Period
C = Phase shift
D = Vertical shift
sin or cos(Bx)
Period = 2π/b
tan(Bx)
Period = π/b

Binomial Theorum

More binomial theorum

Download the Pre Calc Cheat Sheet

1 Page
//media.cheatography.com/storage/thumb/bendystraw_pre-calc.750.jpg

PDF (recommended)

Alternative Downloads

Share This Cheat Sheet!

 

Comments

No comments yet. Add yours below!

Add a Comment

Your Comment

Please enter your name.

    Please enter your email address

      Please enter your Comment.

          Related Cheat Sheets

          Discrete Math Cheat Sheet
          JavaScript Object Methods Cheat Sheet
          EECS 203 Exam 1 Cheat Sheet