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Amplitude

Arc length

Binomial Theorem

Cosine

Is half the difference between the maximum and minimum values…

The arc length is the measure of the distance along the curve…

The binomial theorem states that for every positive integer n…

In a right triangle, the ratio of the side adjacent a given a…

Amplitude

Is half the difference between the maximum and minimum values…

Arc length

The arc length is the measure of the distance along the curve…

equation of parallel/perpendicular to…

consistent and independent

consistent and dependent

inconsistent

y=mx+b; fill in for points/slope/ if given 'perpendicular to'…

exactly one solution

infinite # of solutions

no solution

equation of parallel/perpendicular to…

y=mx+b; fill in for points/slope/ if given 'perpendicular to'…

consistent and independent

exactly one solution

Recursive Sequences

Arithmetic Sequence

Recursive Formula

Geometric Sequence

Is a process in which each step of a pattern is dependent on…

A sequence in which each term is equal to the previous term p…

A starting value AND a recursive rule for generating a sequen…

A sequence in which each term is equal to the previous term m…

Recursive Sequences

Is a process in which each step of a pattern is dependent on…

Arithmetic Sequence

A sequence in which each term is equal to the previous term p…

Periodic Functions

Period

Periodic Graphs

Amplitude

Functions that repeat exactly in regular intervals called cyc…

The length of a cycle

Patterns in a graph that repeat

The amplitude of sine and cosine is half the difference betwe…

Periodic Functions

Functions that repeat exactly in regular intervals called cyc…

Period

The length of a cycle

What is matrix multiplication and sum…

Rotation matrix =

sin(A + B)=

cos(A + B)=

To find the coordinates of points rotated about the origin on…

a matrix which moves a body as a rigid unit without altering…

sin A cos B + cos A sin B

cos A cos B - sin A sin B

What is matrix multiplication and sum…

To find the coordinates of points rotated about the origin on…

Rotation matrix =

a matrix which moves a body as a rigid unit without altering…

Reciprocal Identities

Tangent & Cotangent Ratio Identities

Pythagorean Identities

Negative-Angle Identities

tan θ = sin θ/cos θ... cot θ = cos θ/sin θ

sin (-θ) = -sin θ... cos (-θ) = cos θ... tan (-θ) = -tan θ

Reciprocal Identities

Tangent & Cotangent Ratio Identities

tan θ = sin θ/cos θ... cot θ = cos θ/sin θ

function

dependent variable

independent variable

domain

a relation in which each value of the independent variable ta…

The variable appearing second in the ordered pair (on the y a…

the variable appearing first in the ordered pair (on the x ax…

the set of permissible values of the independent variable (th…

function

a relation in which each value of the independent variable ta…

dependent variable

The variable appearing second in the ordered pair (on the y a…

What is matrix multiplication and sum…

Rotation matrix =

sin(A + B)=

cos(A + B)=

To find the coordinates of points rotated about the origin on…

a matrix which moves a body as a rigid unit without altering…

sin A cos B + cos A sin B

cos A cos B - sin A sin B

What is matrix multiplication and sum…

To find the coordinates of points rotated about the origin on…

Rotation matrix =

a matrix which moves a body as a rigid unit without altering…

Periodic Functions

Period

Periodic Graphs

Amplitude

Functions that repeat exactly in regular intervals called cyc…

The length of a cycle

Patterns in a graph that repeat

The amplitude of sine and cosine is half the difference betwe…

Periodic Functions

Functions that repeat exactly in regular intervals called cyc…

Period

The length of a cycle

real numbers

rational number

irrational number

integer

can be located on a number line (...-2, -1, 0, 1, 2, 3, π...)

a number that can be written as a ratio of 2 integers- includ…

a real number that is not rational (π, √2, √3, etc.)

-2, -1, 0, 1, 2 (no decimals)

real numbers

can be located on a number line (...-2, -1, 0, 1, 2, 3, π...)

rational number

a number that can be written as a ratio of 2 integers- includ…

amplitude

assymtote

branches

common logarithm

for a single sine or cosine function it is half of the differ…

a line that a graph approaches more and more closely but neve…

two symmetrical parts of a hyperbola (hyperbola= graph of rat…

logarithm with a base of 10

amplitude

for a single sine or cosine function it is half of the differ…

assymtote

a line that a graph approaches more and more closely but neve…

Relation

Domain

Range

Function

Set of ordered pairs

Set containing the first elements, aka x values or the input

Set containing the second elements, aka y values or the output

Relation where each member of the domain corresponds to one a…

Relation

Set of ordered pairs

Domain

Set containing the first elements, aka x values or the input

End behavior for odd exponents

End behavior for even exponents

slope-intercept form

point slope form

Pos: down up... neg: up down

pos: up up... neg: down down

y = mx + b

y - y1 = m(x-x1)

End behavior for odd exponents

Pos: down up... neg: up down

End behavior for even exponents

pos: up up... neg: down down

Circle

Parabola

Ellipse

Hyperbola

The set of all points on a plane that are equidistant from a…

The set of all points in a plane that are equidistant from a…

The set of all points in plane such that the sum of the dista…

The set of all points in a plane such that the difference of…

Circle

The set of all points on a plane that are equidistant from a…

Parabola

The set of all points in a plane that are equidistant from a…

Linear equation in one variable

Solution set

Solution set 2

Equivalent equations

Any equation that may be written in the firm ax+b=c, where a,…

A set of all numbers that when substituted into the variable…

A set of numbers which satisfy the equation

Equations which have the same solution set

Linear equation in one variable

Any equation that may be written in the firm ax+b=c, where a,…

Solution set

A set of all numbers that when substituted into the variable…

Formula for 45/45/90

Formula for 30/60/90 in order to find…

Formula for 30/60/90 in order to find…

Formula for sin Law

Leg times Sqrt 2 = Hypotenuse

Short leg times 2 = Hypotenuse

Short leg times Sqrt 3 = long leg

a/sin A = b/sin B = c/sin C

Formula for 45/45/90

Leg times Sqrt 2 = Hypotenuse

Formula for 30/60/90 in order to find…

Short leg times 2 = Hypotenuse

Distance between rose petals

Which way are cosine graphs oriented?

Which way are sine curves oriented?

What is an example of a cardioid?

(2pi/# of petals)

On the x axis

Y axis

r=3+3cos(x)

Distance between rose petals

(2pi/# of petals)

Which way are cosine graphs oriented?

On the x axis

If n is odd and a is positive, x -> in…

If n is odd and a is positive, x -> -…

If n is odd and a is negative, x -> in…

If n is odd and a is negative, x -> -…

y -> inf

y -> - inf

y -> - inf

y -> inf

If n is odd and a is positive, x -> in…

y -> inf

If n is odd and a is positive, x -> -…

y -> - inf

Identity Property of Multiplication

Multiplicative Property of Zero

Multiplicative Property of -1

Property of Opposites in Products

a**1 = a and 1**a = a

a**0 = 0 and 0**a = 0

a(-1) = -a and (-1)a = -a

...

Identity Property of Multiplication

a**1 = a and 1**a = a

Multiplicative Property of Zero

a**0 = 0 and 0**a = 0

EXPONENTIAL FUNCTION

EXPONENTIAL... GROWTH

ASYMPTOTE

EXPONENTIAL... DECAY

a function in the form y=ab^x

a function in the form y = ab^x , where a>0,b>1 & the graph r…

a line that a graph approaches more and more closely but neve…

A function in the form y=ab^x, where a>0 is 0<b<1 graph will…

EXPONENTIAL FUNCTION

a function in the form y=ab^x

EXPONENTIAL... GROWTH

a function in the form y = ab^x , where a>0,b>1 & the graph r…

{1,2,3,4,5,...} are the set of...

{0,1,2,3,4,5,...} are the set of...

{...,-5,-4,-3,-2,-1,0,1,2,3,4,5,...} a…

{a/b | a and b are integers and b is n…

Natural Numbers

Whole Numbers

Integers

Rational Numbers

{1,2,3,4,5,...} are the set of...

Natural Numbers

{0,1,2,3,4,5,...} are the set of...

Whole Numbers

intersection

union

If A is a set, the ______ of A (Ā), is…

universal set

the numbers that both sets share "upside-down U"

the numbers of both set combined "U"

complement

the set of all possible elements from which subsets are formed

intersection

the numbers that both sets share "upside-down U"

union

the numbers of both set combined "U"