#### Study sets matching "algebra trigonometry"

#### Study sets matching "algebra trigonometry"

equation

formula

set

elements

statement that says two mathematical expressions are true

an equation that uses variables to express a relationship bet…

a collection of elements

objects in a set

equation

statement that says two mathematical expressions are true

formula

an equation that uses variables to express a relationship bet…

Complex Numbers

Real Numbers

Imaginary Numbers

Rational Numbers

Have the form a + bi where a and b are real and i = √-1 (e.g.…

Have points on the number line (e.g., 3, -17.4, √5, π, 4/3)

Square roots of negative numbers, have NO points on the numbe…

Can be expressed exactly as a ratio of two integers (e.g., 4/…

Complex Numbers

Have the form a + bi where a and b are real and i = √-1 (e.g.…

Real Numbers

Have points on the number line (e.g., 3, -17.4, √5, π, 4/3)

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

In ∆EFG, e = 4.56, E = 43°, and G = 57…

Designed by Maya Lin, the Vietnam Vete…

In ∆QRS, q = 15, r = 28, and Q = 43.6°…

In ∆XYZ, x = 23.5, y = 9.8, and X = 39…

43°, 80°, 57°, 4.56, 6.58, 5.61 ... (8.1)

2961.4 in., 2960.2 in.... (8.1)

No solution.... (8.1)

39.7°, 15.4°, 124.9°, 23.5, 9.8, 30.2... (8.1)

In ∆EFG, e = 4.56, E = 43°, and G = 57…

43°, 80°, 57°, 4.56, 6.58, 5.61 ... (8.1)

Designed by Maya Lin, the Vietnam Vete…

2961.4 in., 2960.2 in.... (8.1)

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

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…

Function

Function Notation

What are the 3 ways to show functions?

What is point-slope form?

An equation or rule where there is only one output for every…

y=f(x)

Graph, Table, Words

y=m(x-x1)-y1

Function

An equation or rule where there is only one output for every…

Function Notation

y=f(x)

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

Multiplying Algebraic Fractions

Dividing Algebraic Fractions

Adding/Subtracting Algebraic Fractions

Rule of -1

1) Factor... 2) Reduce

1) Flip divisor... 2) Factor... 3) Reduce

1) Find common denominator... 2) Add/Subtract numerators ONLY.... 3…

Puts equation into a solvable form... 1-x²... -1(x²-1)... -1(x-1)(x-1)

Multiplying Algebraic Fractions

1) Factor... 2) Reduce

Dividing Algebraic Fractions

1) Flip divisor... 2) Factor... 3) Reduce

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.

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...

absolute value

absolute value

amplitude

angle of depression

the distance a number lies from 0 on a number line

the piecewise function that returns x if x is not negative an…

the absolute value of the difference between the maximum valu…

the angle by which an observer must lower one's line of sight…

absolute value

the distance a number lies from 0 on a number line

absolute value

the piecewise function that returns x if x is not negative an…