
Graphs of Sine and Cosine
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
Standards-aligned
Juan Montano
Used 6+ times
FREE Resource
6 Slides • 20 Questions
1
Graphs of Sine and Cosine
2
Make an xy-table
How the graph is constructed
3
x-intercepts at x=0,
x=π, x=2π
Maximum at x=π/2
Minimum at x= 3π/2
Key elements
4
It has a period of 2π
It has an amplitude of 1
A cycle starts at y=0 and ends at y=0
Ends at x=2π
Domain is all the reals
Range is [-1, 1]
Periodic Function
5
x-intercepts at x=π/2 and x=3π/2
Maximum at x=0
Minimum at x= π
Cosine Function
6
It has a period of 2π
It has an amplitude of 1
A cycle starts at y=1 and ends at y=1
Domain is all the reals
Range is [-1, 1]
Periodic Function
7
Multiple Choice
8
Drag and Drop
9
Multiple Choice
What is the domain and range of y=sinx ?
R: [-1, 1]
R: [-π, π]
R: [-1, 1]
R: [-∞, ∞]
10
Multiple Choice
What is the domain and range of y=cosx ?
R: [-1, 1]
R: [-π, π]
R: [-1, 1]
R: [-∞, ∞]
11
Drag and Drop
y = sin x
y = - sin x
y = cos x
12
Multiple Choice
y=sinx
y=cosx
13
Drag and Drop
14
Drag and Drop
15
Multiple Choice
Calculate the amplitude of the curve
2π
2
1
0
16
Multiple Choice
Calculate the period of the curve
4π
2π
2
0
17
Drag and Drop
18
Drag and Drop
19
Drag and Drop
20
Drag and Drop
21
Drag and Drop
22
Drag and Drop
23
Drag and Drop
24
Drag and Drop
25
Drag and Drop
26
Drag and Drop
Graphs of Sine and Cosine
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