#### Study sets matching "algebra 2 and trig"

#### Study sets matching "algebra 2 and trig"

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

opposite leg

adjacent leg

SOHCAHTOA

sine (SIN)

the leg located opposite an angle of reference in a right tri…

the leg located next to an angle of reference in a right tria…

a mnemonic (memory) device that is used to remember the 3 bas…

opposite/hypotenuse

opposite leg

the leg located opposite an angle of reference in a right tri…

adjacent leg

the leg located next to an angle of reference in a right tria…

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

natural numbers

whole numbers

opposite or additive inverse

integers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

equal distance but on opposite sides of zero... a + (-a) = 0... Ev…

Positive and Negative Whole Numbers and 0. Examples: .... -3,…

natural numbers

The set of numbers 1, 2, 3, 4, ... Also called counting numbe…

whole numbers

Natural numbers ( counting numbers) and zero; 0, 1, 2, 3...

Column Matrix

Dilation

Element

Equal Matrix

A matrix that has only one column.

A transformation in which a geometric figure is enlarged or r…

Each value in a matrix.

Two matrices that have the same dimensions and each element o…

Column Matrix

A matrix that has only one column.

Dilation

A transformation in which a geometric figure is enlarged or r…

set

set example

real numbers

real numbers example

a group of object (numbers) a set can be infinite (having an…

~0 and 3~ is the set containing 0 and 3

the set of all numbers that exist on a number line

3, -5, 2.42, square root of a number

set

a group of object (numbers) a set can be infinite (having an…

set example

~0 and 3~ is the set containing 0 and 3

domain

solution or root of the equation

equivalent equations

Addition Property of Equality

The domain is the set of numbers that can replace the variabl…

A number from the domain that makes an equation true is a sol…

equations that have the same solution

if you add the same number to each side of an equation, the t…

domain

The domain is the set of numbers that can replace the variabl…

solution or root of the equation

A number from the domain that makes an equation true is a sol…

monomial

polynomial

similar terms or like terms

binomial

a number, a variable, or a product of a number and one or mor…

A sum of monomials.... Each monomial is a term of the polynomial.

two monomials that are exactly alike or the same except for t…

A quantity expressed as a sum or difference of two terms

monomial

a number, a variable, or a product of a number and one or mor…

polynomial

A sum of monomials.... Each monomial is a term of the polynomial.

Sine Formula

Cosine Formula

Tangent Formula

Cosecant Formula

sin x = Opposite Side/Hypotenuse

cos x = Adjacent Side/Hypotenuse

tan x = Opposite Side/Adjacent Side

csc x = Hypotenuse/Opposite Side

Sine Formula

sin x = Opposite Side/Hypotenuse

Cosine Formula

cos x = Adjacent Side/Hypotenuse

Square root on bottom domain

One to one function

Parentheses and Bracket

Square root on top

Set expression greater than 0

For every y element of range, corresponds to only one x eleme…

Not included ... Included... Infinity always parentheses ... Greater a…

Numerator greater than or equal to 0... Denominator not equal to 0

Square root on bottom domain

Set expression greater than 0

One to one function

For every y element of range, corresponds to only one x eleme…

finding the discraminant of the quadra…

roots of the equation (ax^2-bx+c=0)

equation of the circle

equation from sum / product of roots

b^2-4ac

quadratic formula

(x-H)^2+(y-k)^2=r^2

sum= -b/a, product= c/a

finding the discraminant of the quadra…

b^2-4ac

roots of the equation (ax^2-bx+c=0)

quadratic formula

Degree

Slope (mx in y=mx=b)

1st Difference

2nd Difference

Highest exponent/ power

"Constant rate of change"

Linear: Degree of 1. Will find the constant on the 1st degree…

Quadratic: Degree of 2. Will find the constant on the 2nd deg…

Degree

Highest exponent/ power

Slope (mx in y=mx=b)

"Constant rate of change"

abscissa

angle of depression

angle of elevation

base of an exponential function

the distance from a point to the y-axis

the angle formed by the horizontal and the line of sight when…

the angle formed by the horizontal and the line of sight when…

the number b in the exponential function y=b^x

abscissa

the distance from a point to the y-axis

angle of depression

the angle formed by the horizontal and the line of sight when…

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Law of Sines

Law of Cosines

Trigonometric Identities

Trigonometric Ratios

Formula that relates the sines of angles to the lengths of th…

Formula that relates the lengths of sides to the cosines of t…

Trig equation that is true for all values of the variable

Relationship between the sides of a right triangle, can be re…

Law of Sines

Formula that relates the sines of angles to the lengths of th…

Law of Cosines

Formula that relates the lengths of sides to the cosines of t…

sin(θ) cos(θ) tan(θ) csc(θ) sec(θ) cot…

sin(30°, 45°, 60°)... cos(30°, 45°, 60°)…

Conversion to radians

Conversion to degrees

o/h, a/h, o/a, h/o, h/a, a/o (y/r, x/r, y/x, r/y, r/x, x/y)

1/2, √2/2, √3/2... √3/2, √2/2, 1/2... √3/3, 1, √3... π/6, π/4, π/3

π/180

180/π

sin(θ) cos(θ) tan(θ) csc(θ) sec(θ) cot…

o/h, a/h, o/a, h/o, h/a, a/o (y/r, x/r, y/x, r/y, r/x, x/y)

sin(30°, 45°, 60°)... cos(30°, 45°, 60°)…

1/2, √2/2, √3/2... √3/2, √2/2, 1/2... √3/3, 1, √3... π/6, π/4, π/3

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Absolute Value

Absolute Value Equation and/or Inquality

Ambiguous Case

Amplitude

The distance of a number on a number line from 0.

An equation and/or inequality that contains an absolute value.

A situation in which more than one solution for a triangle ca…

How high above or below the -axis the graph of a funstion rea…

Absolute Value

The distance of a number on a number line from 0.

Absolute Value Equation and/or Inquality

An equation and/or inequality that contains an absolute value.

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

standard position

negative angle

positive angle

quadrantal angle

- vertex at the origin... - one side of the angle on the positiv…

clockwise from the x axis

counter clockwise from the x axis

angle with a terminal side on the x or y axis (not in a quadr…

standard position

- vertex at the origin... - one side of the angle on the positiv…

negative angle

clockwise from the x axis

Absolute Value Function

Boundary

Constant Function

Greatest Integer Function

A function written ƒ(X) = X, where ƒ(X)≥ 0 for all values of X.

A line or curve that separates the coordinate plane into two…

A linear function of the form ƒ(X) = b.

A step function, written as ƒ(X) = [[x]], where ƒ(X) is the g…

Absolute Value Function

A function written ƒ(X) = X, where ƒ(X)≥ 0 for all values of X.

Boundary

A line or curve that separates the coordinate plane into two…

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Domain

Function

Linear Equation

Linear Function

The set of all X- coordinates of the ordered pairs of a relat…

A relation in which each element on the domain is paired with…

An equation that has no operations other than addition, subtr…

A function whose ordered pairs satisfy a linear equation.

Domain

The set of all X- coordinates of the ordered pairs of a relat…

Function

A relation in which each element on the domain is paired with…

Sequence

Term

Finite Sequence

Infinite Sequence

an ordered list of objects, such as the notes in a song or th…

a number or variable in an expression or equation; in the equ…

a sequence that comes to an end

a sequence that continues forever

Sequence

an ordered list of objects, such as the notes in a song or th…

Term

a number or variable in an expression or equation; in the equ…

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c

Raising a negative number to a power

Factoring ax²+bx+c

Factoring by grouping

Canceling out opposites

When raising a negative number to a power always put the nega…

If both terms are opposite signs they can be crossed out and…

Raising a negative number to a power

When raising a negative number to a power always put the nega…

Factoring ax²+bx+c