Study sets matching "algebra trigonometry"

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Study sets matching "algebra trigonometry"

70 terms
Algebra 2 & Trigonometry
Quadratic Equation
Sum of the roots of a Quadratic
Product of the roots of a Quadratic
Quadratic Formula
an equation of the form ax² + bx + c = 0, where a ≠ 0
-b/a
c/a
Quadratic Equation
an equation of the form ax² + bx + c = 0, where a ≠ 0
Sum of the roots of a Quadratic
-b/a
70 terms
Algebra 2 & Trigonometry
Quadratic Equation
Sum of the roots of a Quadratic
Product of the roots of a Quadratic
Quadratic Formula
an equation of the form ax² + bx + c = 0, where a ≠ 0
-b/a
c/a
Quadratic Equation
an equation of the form ax² + bx + c = 0, where a ≠ 0
Sum of the roots of a Quadratic
-b/a
12 terms
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…
105 terms
Algebra 2/Trigonometry
Sin 0
Sin 30
Sin 45
Sin 60
0
Sin 0
0
Sin 30
Algebra and Trigonometry
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)
56 terms
Algebra 2/Trigonometry Regents Review
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
Algebra and Trigonometry
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)
70 terms
Algebra 2 & Trigonometry
Quadratic Equation
Sum of the roots of a Quadratic
Product of the roots of a Quadratic
Quadratic Formula
an equation of the form ax² + bx + c = 0, where a ≠ 0
-b/a
c/a
Quadratic Equation
an equation of the form ax² + bx + c = 0, where a ≠ 0
Sum of the roots of a Quadratic
-b/a
Algebra 2 - Trigonometry Practice
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…
56 terms
Algebra 2/Trigonometry Regents Review
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
70 terms
Algebra 2 & Trigonometry
Quadratic Equation
Sum of the roots of a Quadratic
Product of the roots of a Quadratic
Quadratic Formula
an equation of the form ax² + bx + c = 0, where a ≠ 0
-b/a
c/a
Quadratic Equation
an equation of the form ax² + bx + c = 0, where a ≠ 0
Sum of the roots of a Quadratic
-b/a
68 terms
Algebra II and Trigonometry Final
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)
Algebra II/ Trigonometry Formulas
Vertical line test
Horizontal line test
Inverse
(x-4)^2 + (y+5)^2=49
Function
1-1 function, inverse of a function
Switch x and y, solve for y
Center= (-4,5) radius= 7
Vertical line test
Function
Horizontal line test
1-1 function, inverse of a function
Algebra 2 With Trigonometry
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…
45 terms
Algebra 2 Trigonometry vocab
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
10 terms
Solving (Algebra II/Trigonometry)
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
Algebra 2 Trigonometry Regents
Sec θ =
csc θ =
cot θ =
tanθ=
1/Cosθ
1/sinθ
1/tanθ
sinθ/cosθ
Sec θ =
1/Cosθ
csc θ =
1/sinθ
Algebra 2 - Trigonometry
Hypotenuse
Adjacent
Opposite
Right Angle
The side opposite the right angle
The side next to the reference angle
The side facing the reference angle
An angle of 90 degrees
Hypotenuse
The side opposite the right angle
Adjacent
The side next to the reference angle
256 terms
Algebra and Trigonometry Vocabulary
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…
Algebra II/Trigonometry: Unit 3
Quadratic Formula
Cube of a Binomial
Sum of Two Cubes (addition)
Number of Turning Points
Degree - 1
Quadratic Formula
Cube of a Binomial
71 terms
Algebra 2 & Trigonometry
Quadratic Equation
-b/a
c/a
Quadratic Formula
an equation of the form ax² + bx + c = 0, where a ≠ 0
Sum of the roots of a quadratic
Product of the roots of a quadratic
Quadratic Equation
an equation of the form ax² + bx + c = 0, where a ≠ 0
-b/a
Sum of the roots of a quadratic
15 terms
Trigonometry: Algebra Essentials
Set
Elements
Well- defined
Empty set
Well defined collection of distinct objects.
Objects of the set
Rule enabling the determination of a given object, being a el…
Set with no elements
Set
Well defined collection of distinct objects.
Elements
Objects of the set
Algebra 2 and Trigonometry
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...
16 terms
Algebra and trigonometry chapter 1
a symbol or group of symbols used to r…
the number represented by the expressi…
a sentence formed by placing equals si…
a sentence formed by placing an inequa…
numerical expression
value of a numerical expression
equation
inequality
a symbol or group of symbols used to r…
numerical expression
the number represented by the expressi…
value of a numerical expression
52 terms
Trigonometry for h algebra 2
sinθ/cosθ
cosθ/sinθ
sin^2θ+cos^2θ
tan^2θ+1
tanθ
cotθ
1
sec^2θ
sinθ/cosθ
tanθ
cosθ/sinθ
cotθ
55 terms
Algebra & Trigonometry Chapter 1
Algebraic Expression
Associative property of Addition
Associative property of Multiplication
Base
Constants and variables combined using addition, subtraction,…
The sum of 3 numbers may be grouped differently without affec…
The product of 3 numbers may be grouped differently without a…
In exponential notation, the expression that is being multipl…
Algebraic Expression
Constants and variables combined using addition, subtraction,…
Associative property of Addition
The sum of 3 numbers may be grouped differently without affec…
56 terms
Algebra 2/Trigonometry Regents Review
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
6 terms
Algebra 2 w/Trigonometry
Arithmetic Sequence
Arithmetic Recursive
Arithmetic Explicit
Geometric Recursive
When a sequence has a pattern that changes by adding to subtr…
Arithmetic Sequence
When a sequence has a pattern that changes by adding to subtr…
Arithmetic Recursive
39 terms
Algebra II with Trigonometry Vocabulary
end behavior
degree
leading coefficient
maximun
the behavior of the graph as x approaches positive infinity (…
A unit used to measure distances around a circle.
the coefficient of the first term when a polynomial is writte…
n. the greatest possible amount or degree adj. reaching the g…
end behavior
the behavior of the graph as x approaches positive infinity (…
degree
A unit used to measure distances around a circle.
28 terms
Algebra 2 Unit 7 Trigonometry
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…
37 terms
Algebra 3- Trigonometry
Sine
Cosine
Tangent
Sine 30
...
Sine
Cosine
Algebra IIB Trigonometry Terms
Sin30:
Cos30:
Tan30:
Sin45:
1/2
square root of three over two
square root of three over three
square root of two over two
Sin30:
1/2
Cos30:
square root of three over two
Sullivan, Algebra and Trigonometry - Vocabulary
Set
Elements
Well-defined
Roster Method
Well defined collection of objects
Objects in a set
Rule that determines whether a given object is an element in…
Denotation of a set with (D) denoting digits and elements wit…
Set
Well defined collection of objects
Elements
Objects in a set
Algebra 2 Trigonometry
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…
Algebra 2 Trigonometry Formulas
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
34 terms
Adv. Algebra Two Trigonometry
Sin
Cos
Tan
Csc
Opposite/ Hypotenuse
Adjacent/ Hypotenuse
Opposite/ Adjacent
Hypotenuse/ Opposite
Sin
Opposite/ Hypotenuse
Cos
Adjacent/ Hypotenuse
Algebra II Trigonometry
Sin
Cosin
Tan
Csc
O/h
A/h
O/a
H/o
Sin
O/h
Cosin
A/h
Algebra 2 and Trigonometry
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…
8 terms
Algebra II /trigonometry
Discrete function
Continuos function
Interval notation
Set notation
The graph of this function consists of seperate points
The graph of this function is unbroken.
Notation Used for domain and range in a continuos function
Notation Used for domain and range in a discrete function
Discrete function
The graph of this function consists of seperate points
Continuos function
The graph of this function is unbroken.
Algebra 2/ Trigonometry
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"
26 terms
Geometry/ Algebra 2/ Trigonometry
Volume of a cone
Volume of a sphere
Area of a circle
Volume of 3D figures
V=1/3hπr^2
V=4/3πr^3
A=πr^2
Area of one surface times the depth
Volume of a cone
V=1/3hπr^2
Volume of a sphere
V=4/3πr^3
38 terms
Algebra II / Trigonometry
Variable
numerical expression
Algebraic expression
Input
A symbol usually a letter that represents one or more numbers…
A mathematical phrase that contains numbers and operations sy…
A mathematical phrase that contains one or more variables... 3n…
X variable
Variable
A symbol usually a letter that represents one or more numbers…
numerical expression
A mathematical phrase that contains numbers and operations sy…
Algebra 2 and Trigonometry
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.
25 terms
Algebra II Trigonometry Table
π/6
π/4
π/3
π/2
30 degrees
45 degrees
60 degrees
90 degrees
π/6
30 degrees
π/4
45 degrees
26 terms
algebra 2/ trigonometry vocab
standard position
negative angle
positive angle
quadrantal angle
drawing all angles in the same way
opens clockwise
opens counterclockwise
when terminal side lands on the x or y axis
standard position
drawing all angles in the same way
negative angle
opens clockwise
Advanced Algebra Trigonometry
Cos
Tan
Sin
To convert degress to radians
Adjacent/ hypotenuse
Opposite/adjacent
Opposite/hypotenuse
Multiply by pie/180
Cos
Adjacent/ hypotenuse
Tan
Opposite/adjacent
16 terms
Algebra 2 w/ Trigonometry
Arc Length
Area of Sector
Pythagorean Identities
Period (sine/cosine graphs)
S=rθ
A= (1/2)r^2θ
sin^2θ + tan^2θ = 1... tan^2θ + 1 = sec^2θ ... cot^2θ + 1 = csc^2θ
2π/B
Arc Length
S=rθ
Area of Sector
A= (1/2)r^2θ
37 terms
Algebra and Trigonometry (chapter 1)
X-intercept is when
Y-intercept is when
X-intercept is where the graph
Y-intercept is where the graph
Y=0
X=0
Hits the x-axis
Hits the y-axis
X-intercept is when
Y=0
Y-intercept is when
X=0
54 terms
Algebra II Trigonometry
sin0
cos0
tan0
sin30
0
1
0
1/2
sin0
0
cos0
1
28 terms
Algebra 2/Trigonometry Vocabulary
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…
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