PRE-CALCULUS WORKSHEET #4
GRAPHS OF SINE AND COSINE
Do all work on your
own paper.
I. State the period, amplitude, and phase shift.
1) f (x) = 2sin (2x − π )
x

2) g(x) = −3cos + 2π 
4

1
3) h(x) = sin 2π ( x − 3)
5
II. Given the following functions, find:
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a.
b.
c.
d.
e.
f.
Period
Amplitude
Phase Shift
Domain
Range
Graph one cycle
4) f (x) = − 3sin ( x + π )
1
1
5) f (x) = cos ( x − 2π )
2
2

π
6) y + 3 = 2sin2x − 

2

3π 
7) y = −2 − cos 3x −


2 
8) y = 2sin x −1
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III. Evaluate: NO CALCULATOR!!!
−16π
)
3
3π
10) cot
2
11) sec(−240°)
9) sin (
 −5π 
12) tan

 6 
13) cos(−π )
14) csc(0°)
π  2
4π
15) sin
tan  cos (π )
6
3
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