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an introduction to a periodic function

Total questions: 12

Worksheet time: 36mins

Name
Class
Date
1.
The period of a function is 
a)
how long one cycle is before the function repeats
b)
how high and low the function goes from the center line
c)
the range of the function
2.
Amplitude refers to....
a)
how high and low the function varies from the center line.
b)
the length of the function
c)
how often the function repeats
3.
How high is the centre on the Ferris wheel?
a)
1
b)
4
c)
7
d)
0
4.
Which function represents the graph?
a)
f(x) = 3 sin x
b)
f(x) = 3 cos x
c)
f(x) = sin ( ⅓ x)
d)
f(x) = sin (3 x)
5.
What is the amplitude of the graph? 
a)
1
b)
3
c)
6
d)
9
6.
cos(60°)
a)
0
b)
1/2
c)
√3/2
d)
1
7.

cos 150o

a)

-1/2

b)

1/2

c)

√3/2

d)

-√3/2

8.
What is the radius of a unit circle?
a)
1
b)
2
c)
1/2
d)
0
9.
What are the coordinates of 60° on the unit circle?
a)
(0, 1)
b)
(1/2, √3/2)
c)
(√3/2, 1/2)
d)
(√2/2, 1/2)
10.
sinθ is positive in
a)
the 1st and 2nd quadrants
b)
the 1st and 3rd quadrants
c)
the 1st and 4th quadrants
d)
the 2nd and 3rd quadrants
11.
cosθ is positive in
a)
the 1st and 2nd quadrants
b)
the 1st and 3rd quadrants
c)
the 1st and 4th quadrants
d)
the 2nd and 3rd quadrants
12.
What is sin 45°?
a)
1
b)
√3/2
c)
½
d)
√2/2