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Sine and Cosine Graphs
Sine and Cosine Graphs
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Trigonometry: sine & cosine functions - basic transformations
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Answers
1
The period of the function
y = - sin 3(x + 5) - 2
is
3π
2π/3
2π
π/2
2
Sine and cosine functions are
Evil
Trigonometric Functions
Boring
Fun
3
The amplitude of the following periodic trig function is
3
1
4
2
4
The equation of the red function is
3cosx
-sin2x
-2cos2x
2sinx
5
The equation of the blue function is
cosx-1
.5sin2x
.5sinx
-cosx
6
You can produce the graph of sinx by shifting the graph of cosx
right by π
left by π/2
right by π/2
left by 3π/2
7
The period of the following trig function is
9
2
4
8
8
When written in the form
y = a cos k(x - b) + c,
which function has the largest "k" value?
blue
red
black
same "k" value for all
9
The vertical shift of the function
y = - sin 3(x + 5) - 2
is
down 2
up 5
down 5
up 2
10
The amplitude of both y = sinx and y = cosx is
-1
1
0
2π
11
The equation of the following curve is
-cosx
-sinx
cosx
sinx
12
The fundamental period of both sine and cosine is
2π
π/2
2
π
13
The horizontal shift of the function
y = - sin 3(x + 5) - 2
is
right 2
left 5
right 5
left 2
14
The equation of the following curve is
sinx
-sinx
-cosx
cosx