Helpful SAT/ACT Math Formulas

Vcylinder = πr²h

SAcylinder = 2πr²

Vsphere = (4/3)πr³

SAsphere = 4πr²

Vcube = s³

SAcube = 6s²

Face Diagonal (cube) = s√2

Inner Diagonal (cube) = s√3

Graph a circle: (x-h)²+(y-k)²=r²

Parabola: y=a(x-h)²+k

a>0 -> concave up

a<0 -> concave down

Total degree measure in polygon: (n− 2)(180)

Degree measure of 1 angle in a reg. polygon: [(n-2)(180)}/n

astc

Quad 1- sin, cos, tan are positive

Quad 2- sin positive

Quad 3- tan positive

Quad 4- cos positive

 

 

cotθ = 1/tanθ

cscθ = 1/sinθ

secθ = 1/cosθ

sin²θ + cos²θ = 1

sin 0 = 0

sin 30 = 1/2

sin 45 = (√2)/2

sin 60 = (√3)/2

sin 90 = 1

sin 180 = 0

cos 0 = 1

cos 30 = (√3)/2

cos 45 = (√2)/2

cos 60 = 1/2

cos 90 = 0

cos 180 = -1

tan 90 = undefined

Ellipse: [(x-h)²]/a²+[(y-k)²]/b² = 1

a>b horizontal ellipse

a<b vertical ellipse

Hyperbola: [(x-h)²]/a²-[(y-k)²]/b² = 1

Average Rate: total distance/ total time

% change formula: [(new-old)/old](100)

Slope: (y2-y1)/(x2-x1)

Midpoint: ( [x1+x2]/2 , [y1+y2]/2 )