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Complete Unit Circle

Unit Circle Quadrants

Starting Point

Counter Clockwise (π/6) ... Clockwise (-1…

QII QI... (-,+) (+,+)... QIII QIV... (-,-) (+,-)

Counter Clockwise 0π... Clockwise -2π

(√3/2, 1/2)

Complete Unit Circle

Unit Circle Quadrants

QII QI... (-,+) (+,+)... QIII QIV... (-,-) (+,-)

0°

30°

45°

60°

Radians: 0 ... Cos: 1... Sin: 0 ... Tan: 0

Radians: π/6 ... Cos: √3/2... Sin: 1/2... Tan: √3/3

Radians: π/4 ... Cos: √2/2 ... Sin: √2/2 ... Tan: 1

Radians: π/6 ... Cos: 1/2 ... Sin: √3/2 ... Tan: √3

0°

Radians: 0 ... Cos: 1... Sin: 0 ... Tan: 0

30°

Radians: π/6 ... Cos: √3/2... Sin: 1/2... Tan: √3/3

unit circle

radian

co-terminal angle (value)

trigonometric functions

In trigonometry, the circle of radius one centered at the ori…

The measure of an arc (in terms of pi) created by an angle dr…

Angles (values) with the initial side on the positive x-axis…

Functions of an angle in a right triangle that include sine,…

unit circle

In trigonometry, the circle of radius one centered at the ori…

radian

The measure of an arc (in terms of pi) created by an angle dr…

coterminal angles

reference angles

standard position angles

unit circles

angles of different measures in standard position that have t…

the acute angle from the terminal side of the x axis

vertex at origin, initial side on positive x

a circle with a radius of one

coterminal angles

angles of different measures in standard position that have t…

reference angles

the acute angle from the terminal side of the x axis

Function

Relation

Domain

Range

A relationship from one set (called the domain) to another se…

An association between two or more variables. If one of the v…

All of the input or x values in a function

All of the output or y values in a function

Function

A relationship from one set (called the domain) to another se…

Relation

An association between two or more variables. If one of the v…

degree 0

degree 30

degree 45

degree 60

radian:0... sin: 0... cos: 1... tan: 0

radian: pi over 6... sin: 1/2... cos: square root of 3 over 2... tan:…

radian: pi over 4... sin: square root of 2 over 2... cos: square ro…

radian: pi over 3... sin: square root of 3 over 2... cos: 1/2... tan:…

degree 0

radian:0... sin: 0... cos: 1... tan: 0

degree 30

radian: pi over 6... sin: 1/2... cos: square root of 3 over 2... tan:…

Fundamental Theorem of Algebra

Complex Zeros Occur in Conjugate Pairs

Logarithmic Functions

Natural Logarithmic Functions

1.A polynomial of degree n, where n>o, has exactly n roots in…

1.If a + bi, where b does not equal 0, is a zero of the funct…

1.For x>0, a>0, and a can't equal 1, y=log of x with base a i…

1.For X>0, y=lnx if and only if X=e to the y power.... 2.The fun…

Fundamental Theorem of Algebra

1.A polynomial of degree n, where n>o, has exactly n roots in…

Complex Zeros Occur in Conjugate Pairs

1.If a + bi, where b does not equal 0, is a zero of the funct…

The average rate of change between two…

2. There are two main formulas used to…

A second degree equation is usually ca…

The set of all x-values is known as the

slope

point-slope and slope-intercept

quadratic

domain

The average rate of change between two…

slope

2. There are two main formulas used to…

point-slope and slope-intercept

Slope

Function

Linear Function

Dependent Variable

A ratio of the increase in y-coordinate of a line to the incr…

A special kind of relation in which each value of the input v…

A function whose graph is a line.

A variable whose value is determined by the value of the inde…

Slope

A ratio of the increase in y-coordinate of a line to the incr…

Function

A special kind of relation in which each value of the input v…

hypotenuse

opposite

sine

cosine

the side of the triangle opposite the right angle

the side opposite the labelled angle

opposite over hypotenuse

adjacent over hypotenuse

hypotenuse

the side of the triangle opposite the right angle

opposite

the side opposite the labelled angle

Equation of a Circle

distance formula

Center of a Circle

Standard Equation of a Parabola

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

d = square root of (x-h)2 + (y-k)^2... - used to find the radius…

(h,k)... The center of a circle is equidistant from every point…

symmetrical over y axis ... (x-h)^2=4p(y-k)... symmetrical over x a…

Equation of a Circle

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

distance formula

d = square root of (x-h)2 + (y-k)^2... - used to find the radius…

The average rate of change between two…

2. There are two main formulas used to…

The set of all x-values is known as the

The set of all y-values is known as the

slope

point-slope and slope-intercept

domain

range

The average rate of change between two…

slope

2. There are two main formulas used to…

point-slope and slope-intercept

Function

Relation

Domain

Range

A relationship from one set (called the domain) to another se…

An association between two or more variables. If one of the v…

All of the input or x values in a function

All of the output or y values in a function

Function

A relationship from one set (called the domain) to another se…

Relation

An association between two or more variables. If one of the v…

cone section

circle

ellipse

Parabola

intersection of a plane and a cone

it is the most symmetric figure. It is the set of all points…

a regular oval shape, traced by a point moving in a plane so…

A curve when ant point is at an equal distance from a fix poi…

cone section

intersection of a plane and a cone

circle

it is the most symmetric figure. It is the set of all points…

Radius

Standard form of the equation of a cir…

General form of the equation of a circle

Parabola

The distance from the center of the circle to another point o…

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

x^2+y^2+ax+by+c=0

The collection of all points in the plane such that the dista…

Radius

The distance from the center of the circle to another point o…

Standard form of the equation of a cir…

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