Shared Flashcard Set

Details

Mathematics Reference
Important general math equations
44
Mathematics
12th Grade
10/03/2012
Click here to study/print these flashcards.

Create your own flash cards! Sign up here.

Additional Mathematics Flashcards

 

 

Cards

Term
A(B+C) =
 Definition
AB + AC
Term
(A+C)/B =
 Definition
(A/B) + (C/B)
Term
(A/B) + (C/D) =
 Definition
(AD + BC) / BD
Term
(A/B) / (C/D) = (2 options)
 Definition
1. (A/B) * (D/C)
2. AD / BC
Term
(x'm) * (x'n) =
 Definition
x'(m+n)
Term
(x'm) / (x'n) =
 Definition
x'(m-n)
Term
(x'm)'n =
 Definition
x'(mn)
Term
x'(-n) =
 Definition
1 / (x'n)
Term
(xy)'n =
 Definition
(x'n) * (y'n)
Term
(x/y)'n =
 Definition
(x'n) / (y'n)
Term
x'(1/n) =
 Definition
nroot(x)
Term
x'(m/n) = (2 options)
 Definition
1. nroot(x'm)
2. (nroot(x))'m
Term
nroot(xy) =
 Definition
nroot(x) * nroot(y)
Term
nroot(x/y) =
 Definition
nroot(x) / nroot(y)
Term
factor: x'2 - y'2
 Definition
(x + y)(x - y)
Term
factor: x'3 + y'3
 Definition
(x + y)(x'2 - xy + y'2)
Term
factor: x'3 - y'3
 Definition
(x - y)(x'2 + xy + y'2)
Term
(x + y)'2 =
 Definition
x'2 + 2xy + y'2
Term
(x - y)'2 =
 Definition
x'2 - 2xy + y'2
Term
(x + y)'3 =
 Definition
x'3 + (3x'2)y + 3xy'2 + y'3
Term
(x - y)'3 =
 Definition
x'3 - (3x'2)y + 3xy'2 - y'3
Term
area of a triangle
(2 options)
 Definition
1. A = (1/2)bh
-- base(b) and height(h)
2. A = (1/2)ab sin(theta)
-- a and b are sides adjacent to
an angle, theta
Term
area of a circle
 Definition
A = (PI)r'2
Term
circumference of a circle
 Definition
C = 2(PI)r
Term
area of a sector of a circle
 Definition
A = (1/2)(r'2)theta
Term
length of curve of a sector of a circle
 Definition
s = r*theta
Term
volume of a sphere
 Definition
V = (4/3)(PI)(r'3)
Term
surface area of a sphere
 Definition
A = 4(PI)(r'2)
Term
volume of a cylinder
 Definition
V = (PI)(r'2)h
Term
volume of a cone
 Definition
V = (1/3)(PI)(r'2)h
Term
what ratio does this give?

sin (theta)
 Definition
y/r : opposite/hypotenuse
Term
what ratio does this give?

cos (theta)
 Definition
x/r : adjacent/hypotenuse
Term
what ratio does this give?

tan (theta)
 Definition
y/x : opposite/adjacent
Term
what ratio does this give?

csc (theta)
 Definition
r/y : hypotenuse/opposite
Term
what ratio does this give?

sec (theta)
 Definition
r/x : hypotenuse/adjacent
Term
what ratio does this give?

cot (theta)
 Definition
x/y : adjacent/opposite
Term
General Point Slope Form Equation
 Definition
y - y1 = m(x - x1)
Term
derivative of sin-1(x)
 Definition
1/sqrt(1-x^2)
Term
derivative of cos-1(x)
 Definition
-1/sqrt(1-x^2)
Term
derivative of tan-1(x)
 Definition
1/(1+x^2)
Term
derivative of csc-1(x)
 Definition
-1/(x * sqrt(x^2 - 1))
Term
derivative of sec-1(x)
 Definition
1/(x * sqrt(x^2 - 1))
Term
derivative cot-1(x)
 Definition
-1/(1 + x^2)
Term
Distance Formula
between P1(x1,y1) and P2(x2,y2)
 Definition
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Supporting users have an ad free experience!