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Sine/Cosine Practice

Total questions: 12

Worksheet time: 57mins

Name
Class
Date
1.

Sine or Cosine parent function?

a)

y=sinx

b)

y=cosx

2.

Sine or Cosine parent function?

a)

y=sinx

b)

y=cosx

3.
Which value represents a horizontal shift (left and right) in the following function y=a*sin(bx-c)+d?
a)
a
b)
b
c)
c
d)
d
4.
what is the amplitude of
y = 3sin (7x) -2
a)
7
b)
-2
c)
3
d)
6
5.
What is the period of y=4cos5x
a)
2π/5
b)
π
c)
5
d)
5π
6.
What is the amplitude of this function?
a)
2
b)
2π
c)
-2
d)
1
7.
What is the equation of the graph?
a)
 y = 2 cos x
b)
y = sin x
c)
y = 2 sin x
d)
y = sin 2x 
8.
What is the equation of graph? 
a)
y = sin 5x
b)
y =  cos 5x
c)
y = 5 sin x
d)
y = 5 cos x 
9.
What is the equation of the graph?
a)
y = -2 cos x - 3
b)
y = 3 cos x - 2
c)
y = -7 cos x - 3
d)
y = -3 cos x - 4 
10.
What is the equation of the graph?
a)
y = - 6 cos x - 1
b)
y = 3 cos x - 4
c)
y = -7 cos x 
d)
y = -3 cos x - 4 
11.

Write the equation for a sine function with an amplitude of 6 and a period of π/4 with no vertical or horizontal shift.

a)

y=6sin(8x)

b)

y=6sin8(x-1)

c)

y=6sin1/4x

d)

y=6sinx

12.

At a pier, scientists measure the depth of the water according to the tides. At high tide, the water depth is 8 feet. At low tide, 6.2 hours later, the depth is 5 feet. Assume high tide is at time = 0 hours. Write an equation to model the height(ft) of the tide(hr).

a)
b)
c)
d)