Study sets matching "alg ii trig honors"

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Study sets matching "alg ii trig honors"

Alg. 2, Trigonometry Functions
sin(0°)
sin(π/6)
sin(π/4)
sin(π/3)
0
1/2 or sin(30°)
√2/2 or sin(45°)
√3/2 or sin(60°)
sin(0°)
0
sin(π/6)
1/2 or sin(30°)
27 terms
Alg2 Periodic Function and Trigonometry Vocab
Amplitude
Arc length
Binomial Theorem
Cosine
Is half the difference between the maximum and minimum values…
The arc length is the measure of the distance along the curve…
The binomial theorem states that for every positive integer n…
In a right triangle, the ratio of the side adjacent a given a…
Amplitude
Is half the difference between the maximum and minimum values…
Arc length
The arc length is the measure of the distance along the curve…
Trigonometry - Chapter 11 Lesson 2 (Alg. 2)
Tangent Graph Function
Cotangent Graph Function
Secant Graph Function
Cosecent Graph Function
y=tan x
y=cot x
y=sec x
y= csc x
Tangent Graph Function
y=tan x
Cotangent Graph Function
y=cot x
Trigonometry - Chapter 11 Lesson 3 (Alg.2)
Derivation for Pythagorean Identity
Reciprocal Identities
Tangent and Cotangent Ratio Identities
Pythagorean Identities
x^2 + y^2 = r^2 <--- Pythagorean Theorem... x^2/r^2 + y^2/r^2 <-…
cscθ = 1/sinθ... secθ = 1/cosθ... cotθ = 1/tanθ
tanθ = sinθ/cosθ... cotθ = cosθ/sinθ
cos^2θ + sin^2θ = 1... 1 + tan^2 θ= sec^2θ... cot^2θ + 1 = csc^2θ
Derivation for Pythagorean Identity
x^2 + y^2 = r^2 <--- Pythagorean Theorem... x^2/r^2 + y^2/r^2 <-…
Reciprocal Identities
cscθ = 1/sinθ... secθ = 1/cosθ... cotθ = 1/tanθ
Trigonometry - Chapter 11 Lesson 1 (Alg. 2)
Periodic Functions
Period
Periodic Graphs
Amplitude
Functions that repeat exactly in regular intervals called cyc…
The length of a cycle
Patterns in a graph that repeat
The amplitude of sine and cosine is half the difference betwe…
Periodic Functions
Functions that repeat exactly in regular intervals called cyc…
Period
The length of a cycle
Trigonometry- Chapter 11 Lesson 5 (Alg.2)
Double- angle identities:
Half -Angle identities:
Signs of X and ... Y depend on the quadra…
The 3 double angle identities of Cos 2…
Can be used to prove trigonometric identities and can be deri…
Are useful in calculating exact values for trig expressions.
Sine Cos ... Q1 + +... Q2 + -... Q3 - -... Q4 - +
Cos(squared)theta- Sin(squared)theta. ... 2Cos(squared)theta-1…
Double- angle identities:
Can be used to prove trigonometric identities and can be deri…
Half -Angle identities:
Are useful in calculating exact values for trig expressions.
Trigonometry - Chapter 11 Lesson 4 (Alg. 2)
What is matrix multiplication and sum…
Rotation matrix =
sin(A + B)=
cos(A + B)=
To find the coordinates of points rotated about the origin on…
a matrix which moves a body as a rigid unit without altering…
sin A cos B + cos A sin B
cos A cos B - sin A sin B
What is matrix multiplication and sum…
To find the coordinates of points rotated about the origin on…
Rotation matrix =
a matrix which moves a body as a rigid unit without altering…
45 terms
Alg 2 honors exam
Exponential growth
Exponential decay
Acceleration (ddy/dx)
Point slope form
Y=a(1+r)^x
Y=a(1-r)^x (a=initial amount, r=% growth, x=time)
=2a ***Constant a means its parabola
(Y-Y1)=m(X-X1)
Exponential growth
Y=a(1+r)^x
Exponential decay
Y=a(1-r)^x (a=initial amount, r=% growth, x=time)
112 terms
Alg 2 Honors Final
Recursive Sequences
Arithmetic Sequence
Recursive Formula
Geometric Sequence
Is a process in which each step of a pattern is dependent on…
A sequence in which each term is equal to the previous term p…
A starting value AND a recursive rule for generating a sequen…
A sequence in which each term is equal to the previous term m…
Recursive Sequences
Is a process in which each step of a pattern is dependent on…
Arithmetic Sequence
A sequence in which each term is equal to the previous term p…
Trigonometry - Chapter 11 Lesson 6 (Alg. 2)
Unlike trigonometric identities, most…
To solve trigonometric... equations, use…
Some trigonometric equations can be so…
If the equation is in quadratic form b…
solutions
algebraic equations
quadratic equations
quadratic formula
Unlike trigonometric identities, most…
solutions
To solve trigonometric... equations, use…
algebraic equations
25 terms
Honors Alg2 Exam Vocab
complex numbers
discriminant
exponential decay
axis of symmetry
numbers written in the form a+bi where a and b are real numbe…
In the quadratic formula, b^2 - 4ac is the discriminant. The…
The graph of an exponential function with a base greater than…
A line across which a figure is "flipped" to create a reflect…
complex numbers
numbers written in the form a+bi where a and b are real numbe…
discriminant
In the quadratic formula, b^2 - 4ac is the discriminant. The…
43 terms
Honors Alg. 2 Trig Final
equation of parallel/perpendicular to…
consistent and independent
consistent and dependent
inconsistent
y=mx+b; fill in for points/slope/ if given 'perpendicular to'…
exactly one solution
infinite # of solutions
no solution
equation of parallel/perpendicular to…
y=mx+b; fill in for points/slope/ if given 'perpendicular to'…
consistent and independent
exactly one solution
35 terms
Honors Alg 2 Exponents
2^2
2^3
2^4
2^6
4
8
16
64
2^2
4
2^3
8
8 terms
Honors Alg 2
function
dependent variable
independent variable
domain
a relation in which each value of the independent variable ta…
The variable appearing second in the ordered pair (on the y a…
the variable appearing first in the ordered pair (on the x ax…
the set of permissible values of the independent variable (th…
function
a relation in which each value of the independent variable ta…
dependent variable
The variable appearing second in the ordered pair (on the y a…
6 terms
Trigonometry - Chapter 11 Lesson 2 (Alg. 2)
Tangent Graph Function
Cotangent Graph Function
Secant Graph Function
Cosecent Graph Function
y=tan x
y=cot x
y=sec x
y= csc x
Tangent Graph Function
y=tan x
Cotangent Graph Function
y=cot x
Honors Alg 2 module 1
Arithmetic Recursive formula
Geometric Recursive formula
Summing the first "n" terms of an arit…
If the summation converges then
An = (An - 1) + d
An = (An - 1) * r
S = (A1 + An) ... --------- * n... 2
The absolute value of R is less than 1 , so ... S = A1 ... -----…
Arithmetic Recursive formula
An = (An - 1) + d
Geometric Recursive formula
An = (An - 1) * r
6 terms
Trigonometry- Chapter 11 Lesson 5 (Alg.2)
Double- angle identities:
Half -Angle identities:
Signs of X and ... Y depend on the quadra…
The 3 double angle identities of Cos 2…
Can be used to prove trigonometric identities and can be deri…
Are useful in calculating exact values for trig expressions.
Sine Cos ... Q1 + +... Q2 + -... Q3 - -... Q4 - +
Cos(squared)theta- Sin(squared)theta. ... 2Cos(squared)theta-1…
Double- angle identities:
Can be used to prove trigonometric identities and can be deri…
Half -Angle identities:
Are useful in calculating exact values for trig expressions.
12 terms
Trigonometry - Chapter 11 Lesson 4 (Alg. 2)
What is matrix multiplication and sum…
Rotation matrix =
sin(A + B)=
cos(A + B)=
To find the coordinates of points rotated about the origin on…
a matrix which moves a body as a rigid unit without altering…
sin A cos B + cos A sin B
cos A cos B - sin A sin B
What is matrix multiplication and sum…
To find the coordinates of points rotated about the origin on…
Rotation matrix =
a matrix which moves a body as a rigid unit without altering…
5 terms
Trigonometry - Chapter 11 Lesson 3 (Alg.2)
Derivation for Pythagorean Identity
Reciprocal Identities
Tangent and Cotangent Ratio Identities
Pythagorean Identities
x^2 + y^2 = r^2 <--- Pythagorean Theorem... x^2/r^2 + y^2/r^2 <-…
cscθ = 1/sinθ... secθ = 1/cosθ... cotθ = 1/tanθ
tanθ = sinθ/cosθ... cotθ = cosθ/sinθ
cos^2θ + sin^2θ = 1... 1 + tan^2 θ= sec^2θ... cot^2θ + 1 = csc^2θ
Derivation for Pythagorean Identity
x^2 + y^2 = r^2 <--- Pythagorean Theorem... x^2/r^2 + y^2/r^2 <-…
Reciprocal Identities
cscθ = 1/sinθ... secθ = 1/cosθ... cotθ = 1/tanθ
10 terms
Trigonometry - Chapter 11 Lesson 1 (Alg. 2)
Periodic Functions
Period
Periodic Graphs
Amplitude
Functions that repeat exactly in regular intervals called cyc…
The length of a cycle
Patterns in a graph that repeat
The amplitude of sine and cosine is half the difference betwe…
Periodic Functions
Functions that repeat exactly in regular intervals called cyc…
Period
The length of a cycle
7 terms
Trigonometry - Chapter 11 Lesson 6 (Alg. 2)
Unlike trigonometric identities, most…
To solve trigonometric... equations, use…
Some trigonometric equations can be so…
If the equation is in quadratic form b…
solutions
algebraic equations
quadratic equations
quadratic formula
Unlike trigonometric identities, most…
solutions
To solve trigonometric... equations, use…
algebraic equations
8 terms
Toolkit Honor Alg 2
Absolute Value
Quadratic
Square Root
Cubic
What graph is this?
What graph is this?
What graph is this?
What graph is this?
Absolute Value
What graph is this?
Quadratic
What graph is this?
Alg 2 Honors CH. 2
Vertex Form
Standard Form
Factored Form
Reference Point
y=a(x-h)^2+k
y=ax^2+bx+c
y=a(x-r)(x-r)
One of a set of key points that help identify the basic funct…
Vertex Form
y=a(x-h)^2+k
Standard Form
y=ax^2+bx+c
42 terms
Honors Algebra 2 and Trigonometry
Angular Velocity
Linear Velocity
Arc Length Formula
Area of the part of the circle
ω=θ/t
v=s/t, v=rθ/t, v=rω
s=rθ
a=1/2(r²)θ
Angular Velocity
ω=θ/t
Linear Velocity
v=s/t, v=rθ/t, v=rω
39 terms
Alg 2 Honors
1
9
16
25
1^2
3^2
4^2
5^2
1
1^2
9
3^2
alg 2 honors Unit Circle
Quadrant 1
Quadrant 2
Quadrant 3
Quadrant 4
all positive
sin positive (y axis)
tan positive
cos positive (x axis)
Quadrant 1
all positive
Quadrant 2
sin positive (y axis)
17 terms
Honors Alg. 2 Ch. 2
f(x) = x
f(x) = x^2
f(x) = x^3
f(x) = |x|
Straight line
U shape
Half U, other half crossing x-axis
V shape
f(x) = x
Straight line
f(x) = x^2
U shape
Honors Alg.2 Test 1
additive inverse of -7a
multiplicative inverse of 5n/12p
closure property of addition
closure property of multiplication
7a
12p/5n
a+b is a real number
a(b) is a real number
additive inverse of -7a
7a
multiplicative inverse of 5n/12p
12p/5n
51 terms
honors alg 2 vocab exam
amplitude
assymtote
branches
common logarithm
for a single sine or cosine function it is half of the differ…
a line that a graph approaches more and more closely but neve…
two symmetrical parts of a hyperbola (hyperbola= graph of rat…
logarithm with a base of 10
amplitude
for a single sine or cosine function it is half of the differ…
assymtote
a line that a graph approaches more and more closely but neve…
Alg2 honor
closur property
closur property
commutative property
commutative property
a+b is a real number
ab s a real number
a+b=b+a
ab=ba
closur property
a+b is a real number
closur property
ab s a real number
Honors alg 2 chapter 2
parabola parent equation
Cubic
square root
Hyperbolas
y=x^2
y=x^3
y=square root X
1/X
parabola parent equation
y=x^2
Cubic
y=x^3
Honors Alg 2 Midterm Review
End behavior for odd exponents
End behavior for even exponents
slope-intercept form
point slope form
Pos: down up... neg: up down
pos: up up... neg: down down
y = mx + b
y - y1 = m(x-x1)
End behavior for odd exponents
Pos: down up... neg: up down
End behavior for even exponents
pos: up up... neg: down down
9 terms
Alg2 Honors - Ch 13 & 14
Reciprocal Identities
Tangent & Cotangent Ratio Identities
Pythagorean Identities
Negative-Angle Identities
tan θ = sin θ/cos θ... cot θ = cos θ/sin θ
sin (-θ) = -sin θ... cos (-θ) = cos θ... tan (-θ) = -tan θ
Reciprocal Identities
Tangent & Cotangent Ratio Identities
tan θ = sin θ/cos θ... cot θ = cos θ/sin θ
39 terms
honors alg 2 unit a study guide
exponential
reciprocal squared
cosine
cubic
exponential
reciprocal squared
22 terms
Honors Alg 2 Chap 2 terms
a mapping or pairing of input values w…
the set of input values
the set of output values
a relation for which each input has ex…
relation
domain
range
function
a mapping or pairing of input values w…
relation
the set of input values
domain
21 terms
Honors Alg 2: Square Roots
Square root of 1
Square root of 4
Square root of 9
Square root of 16
1
2
3
4
Square root of 1
1
Square root of 4
2
7 terms
Statistics for Alg2/tig/honors
Mean
Median
What percentage of the area lies withi…
What percentage of the area lies withi…
Average
The middle number
68
95
Mean
Average
Median
The middle number
8 terms
Alg 2/ Trig Honors S1
Circle
Parabola
Ellipse
Hyperbola
The set of all points on a plane that are equidistant from a…
The set of all points in a plane that are equidistant from a…
The set of all points in plane such that the sum of the dista…
The set of all points in a plane such that the difference of…
Circle
The set of all points on a plane that are equidistant from a…
Parabola
The set of all points in a plane that are equidistant from a…
12 terms
Alg2 Trig Honors Chapter 4
Relation
Domain
Range
Function
Set of ordered pairs
Set containing the first elements, aka x values or the input
Set containing the second elements, aka y values or the output
Relation where each member of the domain corresponds to one a…
Relation
Set of ordered pairs
Domain
Set containing the first elements, aka x values or the input
13 terms
Honors math 2 Unit 5 Trigonometry
Sine
Cosine
Tangent
Missing side
Opposite/hypotenuse
Adjacent/hypotenuse
Opposite/adjacent
SOHCAHTOA
Sine
Opposite/hypotenuse
Cosine
Adjacent/hypotenuse
Alg 2 Honors Quest (Quadratics) Formulas
standard form y=
standard form for x=
vertex
AOS for y=
y=a(x-h)^2+k
x=a(y-k)^2+h
(h, k)
x=h
standard form y=
y=a(x-h)^2+k
standard form for x=
x=a(y-k)^2+h
Alg 2 honors vhs formulas for series
Nth term of an arithmetic sequence
Sum of 1st n terms, arithmetic series
Nth term of geometric sequence
Sum of geometric series
.... :an=a1+(n-1) d
Sn=n (a1+an/2)
:an=a1×r^n-1
Sn=a1 (1-r^n/1-r)
Nth term of an arithmetic sequence
.... :an=a1+(n-1) d
Sum of 1st n terms, arithmetic series
Sn=n (a1+an/2)
8 terms
Act 31-33 Alg 2 honors
Arc length
Tan
Csc
Sec
2pieR•central angle/360
Cos/sin
1/sin
1/cos
Arc length
2pieR•central angle/360
Tan
Cos/sin
11 terms
Alg 2/Trig Honors P1 Vocabulary
Real Numbers
Natural Numbers
Whole Numbers
Integers
-5, 9, 0, 4/3, 0.666..., root 2, pi, cube root 32
{1, 2, 3, 4...}
{0, 1, 2, 3...}
{...-3, -2, -1, 0, 1, 2, 3...}
Real Numbers
-5, 9, 0, 4/3, 0.666..., root 2, pi, cube root 32
Natural Numbers
{1, 2, 3, 4...}
15 terms
Honors Alg. 2 - Ch 13 Study Guide
Sequence
Sequence
Array
Array
Ex: 3, 9, 15, 21, 27, ...
A infinite or endless # of terms
A finite # of terms in a sequence
Ex: 2, 4, 6, 8
Sequence
Ex: 3, 9, 15, 21, 27, ...
Sequence
A infinite or endless # of terms
Honors Alg2 Parent Functions Domain/Range
constant (domain, range)
linear (domain, range)
quadratic (domain, range)
cubic (domain, range)
R, y=c
R, R
R, y greater or equal to 0
R,R
constant (domain, range)
R, y=c
linear (domain, range)
R, R
honors alg. 2 semester exam review
Ax+By=C
y=mx+b
y-y₁=m(x-x₁)
y=ax²+bx+c
Standard Form
Slope Intercept Form
Point-Slope Form
Standard Form- Quadratics
Ax+By=C
Standard Form
y=mx+b
Slope Intercept Form
5 terms
Honors Alg 2 Linear Systems of Equations
How do you determine whether a given p…
What makes a point a solution to a sys…
What does it mean if two systems are s…
A system of equations...
Plug the solution into BOTH
The solution to a system of equations are the (x,y) pairs tha…
They have the same solutions
Consists of 2 or more equations
How do you determine whether a given p…
Plug the solution into BOTH
What makes a point a solution to a sys…
The solution to a system of equations are the (x,y) pairs tha…
Algebra 2 Honors Trigonometry Study Set
Formula for 45/45/90
Formula for 30/60/90 in order to find…
Formula for 30/60/90 in order to find…
Formula for sin Law
Leg times Sqrt 2 = Hypotenuse
Short leg times 2 = Hypotenuse
Short leg times Sqrt 3 = long leg
a/sin A = b/sin B = c/sin C
Formula for 45/45/90
Leg times Sqrt 2 = Hypotenuse
Formula for 30/60/90 in order to find…
Short leg times 2 = Hypotenuse
Honors Alg II/Trig Test 4 Part 2
If n is odd and a is positive, x -> in…
If n is odd and a is positive, x -> -…
If n is odd and a is negative, x -> in…
If n is odd and a is negative, x -> -…
y -> inf
y -> - inf
y -> - inf
y -> inf
If n is odd and a is positive, x -> in…
y -> inf
If n is odd and a is positive, x -> -…
y -> - inf
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