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Difference Formula for Cosine

Sum Formula for Cosine

Double Angle Formula for Cosine

Power-Reducing Formula for Cosine

cos(α-β) = cos(α)cos(β) + sin(α)-sin(β)

cos(α-β) = cos(α)cos(β) - sin(α)-sin(β)

cos(2θ) = cos²(θ) - sin²(θ)

cos²(θ) = (1 + cos(2θ)) / 2

Difference Formula for Cosine

cos(α-β) = cos(α)cos(β) + sin(α)-sin(β)

Sum Formula for Cosine

cos(α-β) = cos(α)cos(β) - sin(α)-sin(β)

Pythagorean Theorem:

The Distance Formula:

Isosceles Right Triangle:

Sine, Cosine and Tangent Functions:

Relates the lengths of the sides of a right triangle. It stat…

An application of the Pythagorean Theorem to find the distanc…

A right triangle with two sides of the same length.

These functions relate an acute angle of a right triangle to…

Pythagorean Theorem:

Relates the lengths of the sides of a right triangle. It stat…

The Distance Formula:

An application of the Pythagorean Theorem to find the distanc…

Angle

Standard Position of an Angle

Positive Angle

Negative Angle

Initial side and terminal side with common vertex

With initial side on positive x-axis and vertex on origin

Counterclockwise direction

Clockwise direction

Angle

Initial side and terminal side with common vertex

Standard Position of an Angle

With initial side on positive x-axis and vertex on origin

trigonometry

angle

initial side

terminal side

meaning "measurement of triangles"

determined by rotating a ray (half-line) about its endpoint

starting position of the ray

position of the ray after rotation

trigonometry

meaning "measurement of triangles"

angle

determined by rotating a ray (half-line) about its endpoint

Sine Rule (Finding a Length)

Sine Rule (Finding an Angle)

Cosine Rule (Finding a Length)

Cosine Rule (Finding an Angle)

a ÷ sinA = b ÷ sinB = c ÷ sinC

sinA ÷ a = sinB ÷ b = sinC ÷c

a² = b² + c² - 2bc × cosA

cosA = (b² + c² - a²) ÷ 2bc

Sine Rule (Finding a Length)

a ÷ sinA = b ÷ sinB = c ÷ sinC

Sine Rule (Finding an Angle)

sinA ÷ a = sinB ÷ b = sinC ÷c

decimal

evalutate

formula

LCM

a fraction whose denominator is a power of ten and whose nume…

to find a numerical number for and solve

a mathematical relationship or rule expressed in symbols.

(lease common multiple) is a number you get when you multiply…

decimal

a fraction whose denominator is a power of ten and whose nume…

evalutate

to find a numerical number for and solve

How to find the Perimeter of a Square

How to find the Area of a Square

How to find the Perimeter of a Rectangle

How to find the Area of a Rectangle

P=4s/ P= S+S+S+S

A+ S (TIMES) S

P+ 2L+2w/ P= L+L+W+W

A+ L (TIMES) W

How to find the Perimeter of a Square

P=4s/ P= S+S+S+S

How to find the Area of a Square

A+ S (TIMES) S

Polygon

regular polygon

convex polygon

conCAVE polygon

A CLOSED plain figure who's side SEGMENTS intersect at their…

All sides have same length and all angles have the same measu…

A polygon in which any two interior points can be connected w…

any polygon that is not convex.

Polygon

A CLOSED plain figure who's side SEGMENTS intersect at their…

regular polygon

All sides have same length and all angles have the same measu…

frequency of a function

odd function

even function

Distance in A Three Dimensional Space

the number of times a graph repeats itself in a given distanc…

a function for which -F(X) = F(-X), odd functions are symmetr…

a function for which F(X) = F(-X), even functions are symmetr…

d = √(x₂-x₁)²+(y₂-y₁)²+(z₂−z₁)²

frequency of a function

the number of times a graph repeats itself in a given distanc…

odd function

a function for which -F(X) = F(-X), odd functions are symmetr…

Record Keeping

Expenditures

Budget sheet

Deposit

a way for you to manage your money

items you spend money on

an organized way to keep track of expenditures

an amount of money that you put in your checking account

Record Keeping

a way for you to manage your money

Expenditures

items you spend money on

composite solid

cone

cylinder

hemisphere

an object made up of two or more shapes

a 3-dimesional figure with one circular base connected by a c…

a 3-dimensional figure with 2 parallel congruent circular bas…

one of two congruent halves of a sphere

composite solid

an object made up of two or more shapes

cone

a 3-dimesional figure with one circular base connected by a c…

Equation

Arithmetic sequence

Recursive rule

Explicit rule

A statement where 2 exoressions are equal. Needs an = sign.

Consecutive terms differ by a constant amount called the comm…

Describes a pattern in words using the first term.

A formula that determines any term in the sequence. ... Term val…

Equation

A statement where 2 exoressions are equal. Needs an = sign.

Arithmetic sequence

Consecutive terms differ by a constant amount called the comm…

absolute value of a number

additive inverse

integers

opposite

is the distance away from zero on the number line; distance c…

same as opposite; an equal distance from zero in the opposite…

a set of whole numbers and their opposites

same as the additive inverse; an equal distance from zero in…

absolute value of a number

is the distance away from zero on the number line; distance c…

additive inverse

same as opposite; an equal distance from zero in the opposite…

Undefined terms

Point

Line

Plane

-A word that is not formally defined, although there is a gen…

-Has no dimension, represented by a small dot

-Extends in 2 directions/ one dimensional... -represented by a s…

-Extends in 4 directions/ 2 dimensional ... -Usually represented…

Undefined terms

-A word that is not formally defined, although there is a gen…

Point

-Has no dimension, represented by a small dot

numerical expression

order of operations

1st order of operation

2nd order of operation

an expression that contains numbers and defines what operatio…

the order in which to complete numerical expressions

perform operations within a grouping symbol

evaluate powers

numerical expression

an expression that contains numbers and defines what operatio…

order of operations

the order in which to complete numerical expressions

constant of variation

coordinate plane

direct variation

ordered pairs

the fixed number k in a direct variation

a plane containing an x and y axes

a linear relationship between two variables that can be writt…

a pair of numbers that can be used to locate a point on the c…

constant of variation

the fixed number k in a direct variation

coordinate plane

a plane containing an x and y axes

Area

Arithmetic Mean

Arithmetic Sequence

Base 10

Area is the size of a surface! Learn more about Area, or try…

simply the mean or average when the context is clear, is the…

Arithmetic Sequence the difference between one term and the n…

Base 10 refers to the numbering system in common use that use…

Area

Area is the size of a surface! Learn more about Area, or try…

Arithmetic Mean

simply the mean or average when the context is clear, is the…

orthogonal drawing

polyhedron

prism

bases

two dimensional views of top, left, front, and right sides of…

a solid with all flat surfaces that enclose a single region o…

a polyhedron with two congruent parallel faces

congruent faces

orthogonal drawing

two dimensional views of top, left, front, and right sides of…

polyhedron

a solid with all flat surfaces that enclose a single region o…

Savings Account

Deposit

Total Deposit

Withdrawal

account that earns interest which you can't write checks agai…

money put into an account

Sum of Checks + Cash + Coins

taking money out of your account

Savings Account

account that earns interest which you can't write checks agai…

Deposit

money put into an account

Checking Account

Check

Check Register (check book)

Balance

account that you can write a check against the money that has…

a document that directs a bank to deduct money from your chec…

keeps a record of your deposits, transfers, ATM withdrawals,…

the amount of money available to you

Checking Account

account that you can write a check against the money that has…

Check

a document that directs a bank to deduct money from your chec…

trigonometry

angle of inclination

indirect measurement

tangent ratio

三角学 a type of mathematics that deal with the relationship bet…

倾角 an angle formed by a line on x-axis and another not on x-a…

间接测量 to measure something in an indirect way.... Example: If you…

正切比 the ratio of the length of the side opposite to an inclin…

trigonometry

三角学 a type of mathematics that deal with the relationship bet…

angle of inclination

倾角 an angle formed by a line on x-axis and another not on x-a…

coordinate axes

coordinate plane

ordered pairs

origin

the x and y axes in the coordinate plane

A plane that is divided into four regions by a horizontal lin…

Pairs of numbers (x,y) that can represent a point in a coordi…

(0,0)

coordinate axes

the x and y axes in the coordinate plane

coordinate plane

A plane that is divided into four regions by a horizontal lin…