Worksheet 4.1 & 4.2 Graphs of Sine and Cosine · PDF fileM126 Worksheet 4.1 & 4.2 Graphing...
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M126 Worksheet 4.1 & 4.2 Graphing Sine and Cosine Function Name___________________ 1) Graph the function. y = -2 cos x x -5 2 -2 -3 2 - - 2 2 3 2 2 5 2 y 2 1 -1 -2 x -5 2 -2 -3 2 - - 2 2 3 2 2 5 2 y 2 1 -1 -2 2) Graph the function. y = sin πx x -2 -1 1 2 y x -2 -1 1 2 y 3) Give the Amplitude and period of the function: a) y = cos 3x b) y = 5 sin 1 4 x 4) Graph the function. y = sin(x - π 3 ) x -7 3 -2 -5 3 -4 3 - -2 3 - 3 3 2 3 4 3 5 3 2 7 3 y 1 -1 x -7 3 -2 -5 3 -4 3 - -2 3 - 3 3 2 3 4 3 5 3 2 7 3 y 1 -1 5) Graph the function. y = 1 - 2 cos x x -2 - 2 y 3 2 1 -1 -2 -3 x -2 - 2 y 3 2 1 -1 -2 -3
Transcript of Worksheet 4.1 & 4.2 Graphs of Sine and Cosine · PDF fileM126 Worksheet 4.1 & 4.2 Graphing...
M126 Worksheet 4.1 & 4.2 Graphing Sine and Cosine Function Name___________________
1) Graph the function. y = -2 cos x
x-52
-2-32
--2
2
32
252
y2
1
-1
-2
x-52
-2-32
--2
2
32
252
y2
1
-1
-2
2) Graph the function. y = sin πx
x-2 -1 1 2
y
x-2 -1 1 2
y
3) Give the Amplitude and period of the function:
a) y = cos 3x b) y = 5 sin 14
x
4) Graph the function. y = sin(x - π3
)
x-73
-2 -53
-43
- -23
-3
3
23
43
53
2 73
y
1
-1
x-73
-2 -53
-43
- -23
-3
3
23
43
53
2 73
y
1
-1
5) Graph the function. y = 1 - 2 cos x
x-2 - 2
y3
2
1
-1
-2
-3
x-2 - 2
y3
2
1
-1
-2
-3
Answer KeyTestname: WORKSHEET 4.1 & 4.2 GRAPHS OF SINE AND COSINE
1)
x-2
-32
--2
2
32
2
y2
1
-1
-2
x-2
-32
--2
2
32
2
y2
1
-1
-2
2)
x-2 -1 1 2
y
1
-1
x-2 -1 1 2
y
1
-1
3) a) 1, 2π
3 b) 5, 8π
4)
x-83
-73
-2-53
-43
--23
-3
3
23
43
53
273
y
1
-1
x-83
-73
-2-53
-43
--23
-3
3
23
43
53
273
y
1
-1
5)
x-2 - 2
y3
-3
x-2 - 2
y3
-3
2
