Name: __________________________________
Period: ________ Date: ____________________
PreCalculus - Unit 8 Day 11 – Graphing Sine and Cosine Day 2 - Homework
Determine the amplitude and period of each function.
1.
4.
7.
y = -4 sin 4x
2.
y = 3 cos 5x
3.
y = sin x
|a| = _________
|a| = _________
|a| = _________
T = __________
T = __________
T = __________
y = 4 cos x
5.
y = –2 sin x
6.
y = 2 sin (–4x)
|a| = _________
|a| = _________
|a| = _________
T = __________
T = __________
T = __________
y = 3 sin
2
x
3
8.
y = –4 cos 5x
9.
y=
5  2 
sin  
x
3  3 
|a| = _________
|a| = _________
|a| = _________
T = __________
T = __________
T = __________
Give the amplitude and period of each function graphed below. Then write an equation of each graph.
10.
11.
4
3
–

2
–2
–3
|a| = _________
T = __________
Eq: _______________________
–4
2
–2
4
–4
|a| = _________
T = ____________
Eq: _______________________
12.
13.
5
2
4
–4
2
–2
–2
|a| = _________
T = __________
Eq: _______________________
Sketch the graph of each function for one period.
20. y = 2sin x + 2
21.
y = cos 2x – 1
–2

–
2
–5
|a| = _________
T = ____________
Eq: _______________________
22.
y = 3 sin x – 1
23. y = 4cos(2x)
24.
y = 3sin(½x)