Study sets matching "cos graphs"

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Study sets matching "cos graphs"

6 terms
Cos graphing
Max
1/4 period
1/2 period
3/4 period
Start at
Middle
Minimum
Middle
Max
Start at
1/4 period
Middle
Cos graph
domain
range
x intercepts
y intercepts
all real numbers
-1, 1
odd multiplies of pie/2
1
domain
all real numbers
range
-1, 1
16 terms
SIN AND COS GRAPHS
A
B
C
D
AMPLITUDE
use period
phase shift
MIDLINE
A
AMPLITUDE
B
use period
20 terms
Sin and Cos Graphs
Sin
Cos
Periodic Function
Axis of Wave
What graph is pictured?
What graph is pictured?
any function that "repeats" after an interval of time
horizontal axis that passes through the center of the function
Sin
What graph is pictured?
Cos
What graph is pictured?
15 terms
Sin, Cos and Tan graphs
Sin graph
Tan graph
Cos graph
Where does the sine graph cross the x…
-360, -180, 0, 180, 360
Sin graph
Tan graph
28 terms
Graphing sin and cos functions
sin x
cos x
sin (2x)
cos (2x)
sin x
cos x
10 terms
Sin & Cos graphs
Sin 0
Sin 3.14/2
Sin 3.14
Sin 3(3.14)/2
0
1
0
-1
Sin 0
0
Sin 3.14/2
1
Sin/Cos graphs
Amplitude
Period
Horizontal shift
Vertical shift
|A|
2pi/b
C/B
D
Amplitude
|A|
Period
2pi/b
11 terms
sin cos tan graphs
5 point pattern for sin
y= asinbx
find the period for sin & cos
to find interval
zero... max... zero... min... zero
|a| = amplitude ... b= # of cycles from 0 to 2 pi
2 pi/ b
period / 4
5 point pattern for sin
zero... max... zero... min... zero
y= asinbx
|a| = amplitude ... b= # of cycles from 0 to 2 pi
Sin and cos graphs
Sin crosses x axis at
Sin peaks at
Sin goes through
Cos crosses x axis at
180 and 360
90 and 270
0
90 and 270
Sin crosses x axis at
180 and 360
Sin peaks at
90 and 270
21 terms
Graphs of sin & cos functions
Sin period
Sin symmetry
Cot period
Cot symmetry
2pie
Odd
2pie
Even
Sin period
2pie
Sin symmetry
Odd
6 terms
sin and cos graphs
y = sinθ
y = cosθ
a
d
d: all real #s ... r: [-1, 1]... symmetry: to origin ... function: odd…
d: all real #s ... r: [-1, 1]... symmetry: y- axis ... function: even…
= amplitude ... y= a cos θ ± d
= midline... y= a sin θ ± d
y = sinθ
d: all real #s ... r: [-1, 1]... symmetry: to origin ... function: odd…
y = cosθ
d: all real #s ... r: [-1, 1]... symmetry: y- axis ... function: even…
11 terms
Sin, cos, and tan graphs
Sin Domain
Sin Range
Sin Zeros (x-intercepts)
Sin Y-intercepts
All real #s
-1 </= y </= 1
Every multiple of pi
0
Sin Domain
All real #s
Sin Range
-1 </= y </= 1
Sin and Cos Graphs
what is a in y=5sin(2x+3)-3
what is b in y=5sin(2x+3)-3
what is c in y=5sin(2x+3)-3
what is d in y=5sin(2x+3)-3
5
2
-3
-3
what is a in y=5sin(2x+3)-3
5
what is b in y=5sin(2x+3)-3
2
Sin, Cos, Tan Graphs
What is the maximum y value on a sin c…
What is the minimum value on a sin cur…
Where what is the maximum x value on a…
Where does the curve cross the x-axis?
1
-1
90 degrees.
At 180 degrees.
What is the maximum y value on a sin c…
1
What is the minimum value on a sin cur…
-1
12 terms
Co-ordinates and Graphs
sideways
up and down
x
y
The x-axis runs in this direction
The y-axis runs in this direction
Which coordinate should you plot first?
Which coordinate tells you how far up the vertical axis to tr…
sideways
The x-axis runs in this direction
up and down
The y-axis runs in this direction
12 terms
Co-Ordinates and Graphs Keywords
CO-ORDINATE
GRAPH
AXIS
AXES
a point plotted on x-y axis tells us the position of a point
is a representation of a function on a set of axis
usually a vertical and horizontal line used for plotting co-o…
more than one axis
CO-ORDINATE
a point plotted on x-y axis tells us the position of a point
GRAPH
is a representation of a function on a set of axis
11 terms
Sin and Cos Graph Transformations
Amplitude and period of y=5/2 cos x/4
Phase shift and vertical shift of... y=3…
Amplitude and Period of y=3 sin 2/3 x
What is the lowest point of the graph…
amplitude= 5/2... period= 8π
Phase shift= π/2 right... Vertical shift= 1 up
Amplitude= 3... Period= 6π/2
-4
Amplitude and period of y=5/2 cos x/4
amplitude= 5/2... period= 8π
Phase shift and vertical shift of... y=3…
Phase shift= π/2 right... Vertical shift= 1 up
Sin and Cos Graph Transformations
Amplitude and period of y=5/2 cos x/4
Phase shift and vertical shift of... y=3…
Amplitude and Period of y=3 sin 2/3 x
What is the lowest point of the graph…
amplitude= 5/2... period= 8π
Phase shift= π/2 right... Vertical shift= 1 up
Amplitude= 3... Period= 6π/2
-4
Amplitude and period of y=5/2 cos x/4
amplitude= 5/2... period= 8π
Phase shift and vertical shift of... y=3…
Phase shift= π/2 right... Vertical shift= 1 up
Sin and Cos Graph Quiz
amplitude
period
which functions are continuous
when a<0
half the distance from minimum to maximum
horizontal distance required to complete one cycle
sin and cos
reflects over the x-axis
amplitude
half the distance from minimum to maximum
period
horizontal distance required to complete one cycle
Recognising Sin, Cos and Tan graphs
Sin (degrees)
Sin (radians)
Cos (degrees)
Cos (radians)
Sin (degrees)
Sin (radians)
20 terms
co-, com- & graph
paragraph
biography
seismograph
cartography
A section of a piece of writing, dealing with one topic.
A story about a person's life written by another person.
A device that measures and records the strength of an earthqu…
science or art of making maps
paragraph
A section of a piece of writing, dealing with one topic.
biography
A story about a person's life written by another person.
Graphing sin & cos
Sin
Cos
Vertical
Period
Start at middle point, miss 1&3
Start at left, go thru 1&3
New x-axis
2pie over b
Sin
Start at middle point, miss 1&3
Cos
Start at left, go thru 1&3
9 terms
Cos Graph Coordinates
0
π / 2
π
3π / 2
1
0
-1
0
0
1
π / 2
0
6 terms
Graphing Sin and Cos
Amplitude
Period
Phase shift
Frequency
|a|
(2 pie)/ |b|
(-c)/ |b|
1/ period
Amplitude
|a|
Period
(2 pie)/ |b|
6 terms
graphing sin/cos
horizontal/vertical shift formula:
Phase shift:
middle line:
Starting point:
y=asinx(bx-c)+d
c/b
y=d
bx-c=0
horizontal/vertical shift formula:
y=asinx(bx-c)+d
Phase shift:
c/b
Cos sin tan graphing
Period
Interval
A
B
2π/frequency
Period/4
Amount up from midline
P=2π/b... Frequency... P can be I graph so plug in to find b
Period
2π/frequency
Interval
Period/4
10 terms
Graphing sin and cos functions
Sin formula
Cos formula
C
A
y = C + A sinB(x-D)
y = C + A cosB(x-D)
Vertical shift
Amplitude change
Sin formula
y = C + A sinB(x-D)
Cos formula
y = C + A cosB(x-D)
Co-, Com- & Graph
paragraph
biography
seismograph
cartography
A section of a piece of writing, dealing with one topic.
A story about a person's life written by another person.
A device that measures and records the strength of an earthqu…
science or art of making maps
paragraph
A section of a piece of writing, dealing with one topic.
biography
A story about a person's life written by another person.
14 terms
Graphing cos and sin functions
Period
sin function
cos function
Order of 2pi function
when the graph of a function does a full up and down and how…
comes down
goes up
7pi/2, 3pi, 5pi/2, 2pi, 3pi/2, pi, pi/2, 0
Period
when the graph of a function does a full up and down and how…
sin function
comes down
Graphing Sin and Cos Functions
Period for sin, cos, csc, sec
Period for tan and cot
Phase shift for right (-c)
Phase shift for left (+c)
2pi/b
Pi/b
C/b
C/b + period
Period for sin, cos, csc, sec
2pi/b
Period for tan and cot
Pi/b
graphing sin and cos
what does B change?
how do you find the period?
how do you find A?
what does A mean?
period
2pi/B
(max-min)/2
amplitude
what does B change?
period
how do you find the period?
2pi/B
12 terms
7. dict/graph/co
contradict
dictate
dictator
verdict
to say the opposite of what someone says
to write down what someone says; to command
a leader who has complete control over a country
a decision that is determined to be true
contradict
to say the opposite of what someone says
dictate
to write down what someone says; to command
20 terms
graph & co-, com
autograph
biography
paragraph
seismograph
the writing of one's own name
a book written about a person's life
a section of writing that has a topic and concluding sentence
a device that writes down (records) the movement of the earth
autograph
the writing of one's own name
biography
a book written about a person's life
Vocab -graph and -co
Biography
Graphic
Epigraph
Orthography
a written acount of someones life
giving a clear and effective picture
a apposite quotation at the begging of a book
the art of writing words with proper letters; correct spelling
Biography
a written acount of someones life
Graphic
giving a clear and effective picture
19 terms
sin,cos,tan parent graphs
y=sinx, x=0, y=???
y=sinx ... when does y=0?
y=sinx, positive, r=3
y=sinx, positive, r=1
y=0
x=0, when x = a multiple of π
y=-1
y=1
y=sinx, x=0, y=???
y=0
y=sinx ... when does y=0?
x=0, when x = a multiple of π
5 terms
FST Critical Points Cos Graph
(Cos Graph) 0
(Cos Graph) 90° or π/2
(Cos Graph) 180° or π
(Cos Graph) 270° or 3π/2
1
0
-1
0
(Cos Graph) 0
1
(Cos Graph) 90° or π/2
0
11 terms
Graphing Sin Cos Tan equations
Amplitude
Period
Phase Shift
Vertical Shift
A
2pi/B
C/B
D
Amplitude
A
Period
2pi/B
Graphing Trig Functions Cos Curves
y=
x=0
x=90
x=180
cosx
cosx=1
cosx=0
cosx=-1
y=
cosx
x=0
cosx=1
12 terms
graph of sin / cos & focus / directrix
y intercept cos
y intercept sin
order of wave
midline
1
0
max, x int, min, x int, max
π/2, π, 3π/2, 2π, 5π/2
y intercept cos
1
y intercept sin
0
8 terms
Trig: Graphing Sin/Cos Functions
Different ways of rotation
Sin Parent Fxn.
Cos Parent Fxn. ... **what is it the oppo…
Vertical Stretch/Shrink... *what does thi…
1. rotational: for example, a ferris wheel= continuos rotatio…
-starts at midline, to max, to midline, to min, to mid... -value…
-starts at max, to mid, to min, to mid, to max... -values... *90=0,…
- x>1= stretch... - x<1= shrink... -ex. 6sinθ... *changes the amplitud…
Different ways of rotation
1. rotational: for example, a ferris wheel= continuos rotatio…
Sin Parent Fxn.
-starts at midline, to max, to midline, to min, to mid... -value…
Graphs of sin, cos, tan, cot, sec, csc
phase shift(sin/cos)
amplitude(sin/cos)
period(sin/cos/csc/sec)
period(tan/cot)
number after the +or-; left or right
first number(a); always positive; negative flips graph
number before x(b); 2π/b
π/b
phase shift(sin/cos)
number after the +or-; left or right
amplitude(sin/cos)
first number(a); always positive; negative flips graph
19 terms
Vocabulary graph/co or com
Autobiography
Autograph
Bibliography
Biography
Noun.A history of a person's life written or told by that per…
Noun.Something written in a person's own hand
Noun.A list of the written sources of information on a subject
Noun. The written accent of another person's life writing a b…
Autobiography
Noun.A history of a person's life written or told by that per…
Autograph
Noun.Something written in a person's own hand
18 terms
Pre-Calculus: Sin and Cos Graphs: Papp
Sin Equation
Sin Critical Point #1
Sin Critical Point #2
Sin Critical Point #3
y=sin x
(0,0)
(π/2, 1)
(π, 0)
Sin Equation
y=sin x
Sin Critical Point #1
(0,0)
9 terms
Pre Calc Graphing tan cot cos sin
Amplitude (A)
Variable B
Variable C
Variable D
for sin, cos, csc, sec: (y max-y min)/2... for tan, cot: plug in…
360/period or 180/period (tan or cot)... period: distance betwee…
phase shift: translation left or right... x value of any max (co…
vertical shift: midline of the graph: (y max + y min)/2
Amplitude (A)
for sin, cos, csc, sec: (y max-y min)/2... for tan, cot: plug in…
Variable B
360/period or 180/period (tan or cot)... period: distance betwee…
6 terms
Domain and Range of Inverse Sin Cos and Tan graphs
sin⁻¹(x) domain
sin⁻¹(x) range
cos⁻¹(x) domain
cos⁻¹(x) range
[-1, 1]
[-π/2, π/2]
[-1, 1]
[0, π]
sin⁻¹(x) domain
[-1, 1]
sin⁻¹(x) range
[-π/2, π/2]
6 terms
Domain and Range of Inverse Sin Cos and Tan graphs
sin⁻¹(x) domain
sin⁻¹(x) range
cos⁻¹(x) domain
cos⁻¹(x) range
[-1, 1]
[-π/2, π/2]
[-1, 1]
[0, π]
sin⁻¹(x) domain
[-1, 1]
sin⁻¹(x) range
[-π/2, π/2]
22 terms
Interpreting Sin, Cos, Tan, Csc, Sec, Cot Graphs
What is amplitude?
What is the frequency?
What is the equation for period?
What does the intervals of increasing…
Amplitude is the distance on the y axis.
Frequency is the amount of one unit circle curves (0-360) you…
The equation for period is 2pi over the absolute value of b.
Intervals of increasing are where the line goes upward!
What is amplitude?
Amplitude is the distance on the y axis.
What is the frequency?
Frequency is the amount of one unit circle curves (0-360) you…
9 terms
Writing Sin/Cos Equations from the Graph
How you find the b value from a graph
How you find c from a graph
How you find d from a graph
How you find a from a graph
solve 2π/b = period which you counted on curve
x start value × b
(max + min) / 2
max − d
How you find the b value from a graph
solve 2π/b = period which you counted on curve
How you find c from a graph
x start value × b
11 terms
Graph of Sin, Cos, Tan, Cot, Sec...
What is the function of sin?
What information can you get from y=as…
What is the function of cos?
What information can you get from y=ac…
y= asinbx is a simple version. ... y= asinb(x-c)+d is more compl…
a= amplitude... 2π/b= period... period/4= "count by"
y= acosbx is a simple version. ... y= acosb(x-c)+d is more compl…
a= amplitude... 2π/b= period... period/4= "count by"
What is the function of sin?
y= asinbx is a simple version. ... y= asinb(x-c)+d is more compl…
What information can you get from y=as…
a= amplitude... 2π/b= period... period/4= "count by"
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