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Study sets matching "pre calculus circle"

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Study sets matching "pre calculus circle"

51 terms
Pre-Calculus Unit Circle
30
45
60
90
pi/6
pi/4
pi/3
pi/2
30
pi/6
45
pi/4
32 terms
PRE-CALCULUS: The Unit Circle
cos0 ; cos2π
sin0 ; sin2π
cosπ/6
sinπ/6
1
0
√3/2
1/2
cos0 ; cos2π
1
sin0 ; sin2π
0
8 terms
Pre-Calculus: Unit Circle
Sinθ
Cosθ
TanX
Cosecant
Sinθ=y
Cosθ= x
TanX = y/x = sinX/cosX
Cscθ= 1/sinθ
Sinθ
Sinθ=y
Cosθ
Cosθ= x
48 terms
Unit Circle: Pre-Calculus
1
0
0
√3/2
Cosine of 2π
Sine of 2π
Tangent of 2π
Cosine of π/6
1
Cosine of 2π
0
Sine of 2π
21 terms
Pre-Calculus - Unit Circle
Sine Equation
Cosine Equation
Tangent Equation
Sine of 30
Opposite÷Hypoteneuse
Adjacent ÷ Hypoteneuse
Opposite ÷ Adjacent
½
Sine Equation
Opposite÷Hypoteneuse
Cosine Equation
Adjacent ÷ Hypoteneuse
19 terms
Pre-Calculus Unit Circle Coordinates
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... (-,-) (+,-)
21 terms
Pre calculus Unit Circle
Sin0
Cos0
Tan0
Sin30
0
1
0
1/2
Sin0
0
Cos0
1
16 terms
Pre-Calculus Unit Circle
90
180
270
360
pi/2
pi
3pi/2
2pi
90
pi/2
180
pi
37 terms
Pre-Calculus: The Unit Circle
0° to Radians
30° to Radians
45° to Radians
60° to Radians
π/6
π/4
π/3
0° to Radians
30° to Radians
π/6
17 terms
Pre-calculus unit circle
0
30
45
60
2~
~/6
~/4
~/3
0
2~
30
~/6
16 terms
Pre-Calculus Unit Circle
90 degrees
60 degrees
45 degrees
30 degrees
(0,1)
(1/2,*3/2)
(2/2,2/2)
(*3/2,1/2)
90 degrees
(0,1)
60 degrees
(1/2,*3/2)
23 terms
Unit Circle Pre-Calculus
Pi/3
Pi/2
11Pi/6
7Pi/4
Cos:1/2... Sin: ✔️3/2
Cos:0... Sin:1
Cos:✔️3/2 ... Sin:-1/2
Cos:✔️2/2 ... Sin: ✔️2/2
Pi/3
Cos:1/2... Sin: ✔️3/2
Pi/2
Cos:0... Sin:1
17 terms
The Unit Circle Pre-Calculus
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
Radians: 0 ... Cos: 1... Sin: 0 ... Tan: 0
30°
Radians: π/6 ... Cos: √3/2... Sin: 1/2... Tan: √3/3
31 terms
PreCalculus: The Unit Circle
(x,y)
30° (radians)
30° (coordinates)
45° (radians)
(cos,sin)
π/6
(√3/2, 1/2)
π/4
(x,y)
(cos,sin)
30° (radians)
π/6
32 terms
Pre-Calculus Unit Circle
1
*3/2
*2/2
1/2
cos (0)
cos (30)
cos (45)
cos (60)
1
cos (0)
*3/2
cos (30)
30 terms
Pre-Calculus Unit Circle
0 degrees is equal to 360 degrees. Rad…
2 pi is equal to
30 degrees equals how many radians?
pi over 6 radians is equal to
2 pi
1,0
pi over 6
the square root of three, over two, and one half
0 degrees is equal to 360 degrees. Rad…
2 pi
2 pi is equal to
1,0
16 terms
Pre-Calculus: Unit Circle
90°
60°
45°
30°
π/2... (0,1)
π/3... (1/2, √3/2)
π/4... (√2/2, √2/2)
π/6... (√3/2, 1/2)
90°
π/2... (0,1)
60°
π/3... (1/2, √3/2)
22 terms
Pre-Calculus- Circles & Ellipses
center
length of major axis
length of minor axis
vertices
(h,k)
2a
2b
center± a
center
(h,k)
length of major axis
2a
10 terms
Pre-Calculus Circles & Lines
Standard form for the equation of a ci…
Center
Radius
To complete the square
(x-h)^2 + (y-k)^2 = r^2
H, k
R
(B/2)^2
Standard form for the equation of a ci…
(x-h)^2 + (y-k)^2 = r^2
Center
H, k
56 terms
Pre-Calculus Unit Circle Values
30°
45°
60°
0
π/6
π/4
π/3
0
30°
π/6
129 terms
Pre-Calculus Unit Circle Quizzes
sin 0π
sin π/6
0 degrees
30 degrees
0
1/2
π/6
sin 0π
0
sin π/6
1/2
19 terms
Pre-Calculus Unit Circle Coordinates
30° (π/6)
45° (π/4)
60° (π/3)
90° (π/2)
(√3/2,1/2)
(√2/2,√2/2)
(1/2,√3/2)
(0,1)
30° (π/6)
(√3/2,1/2)
45° (π/4)
(√2/2,√2/2)
16 terms
Pre-Calculus : Unit Circle Quiz
Pie
5pie... 6
4pie... 3
3pie... 2
180
150
240
270
Pie
180
5pie... 6
150
16 terms
Pre Calculus- Unit Circle Practice
π/6
π/4
π/3
π/2
(√3/2 , 1/2)
(√2/2 , √2/2)
(1/2, √3/2)
(0,1)
π/6
(√3/2 , 1/2)
π/4
(√2/2 , √2/2)
19 terms
Pre-Calculus Unit Circle - Irregulars
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
All Positive
sin and csc positive
tan and cot positive
cos and sec positive
Quadrant I
All Positive
Quadrant II
sin and csc positive
23 terms
Pre-Calculus: the Unit Circle and Misc.
Sin
Cos
Tan
Csc
Y
X
Y/X
1/Y
Sin
Y
Cos
X
Unit Circle (Pre-Calculus Honors 2015)
cos π/6
sin π/6
cos π/4
sin π/4
√3/2
1/2
√2/2
√2/2
cos π/6
√3/2
sin π/6
1/2
10 terms
PreCalculus Unit Circle and Trig functions
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…
17 terms
Pre-calculus Unit Circle Flash Cards
30°
45°
60°
0
π/6
π/4
π/3
0
30°
π/6
9 terms
Pre-Calculus - 1st Unit Circle Quiz
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
65 terms
Pre-Calculus
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…
17 terms
Unit Circle - Radian, Sin, Cos, Tan (Pre-Calculus)
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:…
20 terms
Pre calculus
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…
68 terms
Pre-Calculus Speed Test Radian/Degree Unit Circle
π/6
π/4
π/3
π/2
30°
45°
60°
90°
π/6
30°
π/4
45°
33 terms
Pre-Calculus
Common Trig Function Values
The Unit Circle
Triangle Formulas
Right Triangle Formulas
- h = a * sin(Θ)... - area = (1/2)b * h... Law of Cosines:... - c^2 =…
Pythagorean Theorem... - c^2 = a^2 + b^2
Common Trig Function Values
The Unit Circle
14 terms
Pre-Calculus and Calculus Vocabulary
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
40 terms
PreCalculus
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…
16 terms
Pre-Calculus Chapter 4.2: Unit Circle - Familiar Angles
π/6
π/4
π/3
π/2
(sqrt(3)/2, 1/2)
(sqrt(2)/2, sqrt(2)/2)
(1/2, sqrt(3)/2)
(0, 1)
π/6
(sqrt(3)/2, 1/2)
π/4
(sqrt(2)/2, sqrt(2)/2)
10 terms
Trigonometry review for Pre-Calculus
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
20 terms
PreCalculus Chapter 9.1: Circles, Parabolas, Hyperbolas, & Ellipses
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…
66 terms
Pre-Calculus Topics
Area of a triangle
Area of a trapezoid
Area of a circle
Circumference of a cirle
(1/2)bh
(1/2)h(b1+b2)
(pi)r^2
2(pi)r OR (pi)d
Area of a triangle
(1/2)bh
Area of a trapezoid
(1/2)h(b1+b2)
9 terms
Pre-Calculus and Calculus Vocabulary
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
26 terms
Parent Functions - PreCalculus
Linear Parent Function
Quadratic Parent Function
Cubic Parent Function
Cube Root Parent Function
Linear Parent Function
Quadratic Parent Function
65 terms
Pre-Calculus
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…
13 terms
Pre-Calculus Parent Functions
Constant... f(x) = a
Linear (Identity)... f(x) = x
Absolute Value... f(x) = |x|
Greatest Integer... f(x) = int(x) = [x]
Constant... f(x) = a
Linear (Identity)... f(x) = x
10 terms
Pre Calculus
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…
49 terms
Pre-Calculus
sin(t)
cos(t)
tan(t)
csc(t)
y
x
y/x
1/y
sin(t)
y
cos(t)
x
11 terms
Pre-Calculus
Constant Function
Identity function
Absolute Value
Square Root Function
Constant Function
Identity function
11 terms
Pre-Calculus Unit 3 (Circles, parabolas, ellipses, hyperbolas)
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
64 terms
AP Calculus Review - Pre-calculus Topics
Area of a Triangle
Area of a Triangle (SAS Formula)
Area of a Trapezoid
Area of a Circle
Area of a Triangle
Area of a Triangle (SAS Formula)
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