www.iTutoring.com -­‐ NOTES The Period of Sine and Cosine Functions Name _________________________________ Date ___________________ Period _______ Given the following functions...
y = sin bx
y = cos bx
...the period =
2π
b
Example:
y = sin 2x
y = cos 4πx
y = cos
x
2
Graph y = sin 2x
0
Graph y = sin
1
x
2
0
Graph y = cos 4πx
0
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The Period of Sine and Cosine Functions Pg. 2 Graph y = cos
x
4
0
Graph y = 3 sin 4x
0
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The Period of Sine and Cosine Functions Pg. 3 Graph y = -9 cos 2x
0
Determine the equation for the following graph.
3
-
π
4
-
3π
16
-
π
8
-
0
π
16
π
16
π
8
3π
16
π
4
-3
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The Period of Sine and Cosine Functions Pg. 4 Determine the equation for the following graph.
2
-
-π
4
-
3π
4
-
π
2
-
0
π
4
π
4
π
2
3π
4
π
4
-2
Determine the equation for the following graph.
5
-
-6π
4
-
9π
2
-3π
2
-
0
3π
2
3π
2
3π
2
9π
2
6π
4
-5
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The Period of Sine and Cosine Functions Pg. 5 Determine the equation for the following graph.
4
-
-4π
4
-
-3π
2
-2π
2
-
0
-π
2
π
2
2π
2
3π
2
4π
4
-4
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The Period of Sine and Cosine Functions Pg. 6