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XINMIN SECONDARY SCHOOLADDITIONAL MATHEMATICS
GRAPHS OF SINE AND COSINE FUNCTIONSWORKSHEET 1
Name: __________________________( ) Date: __________Class: Sec _______
Sketch the graph of the following functions with the given domain.1. for
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2
1
0
-1
-2
-3
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2
1
0
-1
-2
-32. for
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2
1
0
-1
-2
-3
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2
1
0
-1
-2
-3
Annie Yeo/XMS/03/08/2010
2
3. for
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5
0
-5
-10
-15
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5
0
-5
-10
-15
Annie Yeo/XMS/03/08/2010
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XINMIN SECONDARY SCHOOLADDITIONAL MATHEMATICS
GRAPHS OF SINE, COSINE and TANGENT FUNCTIONSWORKSHEET 2
Name: _____________________________( ) Date: _________Class: Sec _______
Log into ACE Learning Platform Sec 3 Express Additional Mathematics Section, Chapter T3 W7: Graphs and Properties of sinx, cosx and tanx Topic: Graphs of Trigonometric Functions Interactive Labs:
Graphs of Graphs of Graphs of
1 View the graphs of , , and separately for
and .
2 Refer to each of the graphs, complete the following statements.
(a) The amplitude of the graph of is ________ and its frequency is _________.
(b) The amplitude of the graph of is ________ and its frequency is __________.
(c) The amplitude of the graph of is ________ and its frequency is _________.
(d) The amplitude of the graph of is ________ and its frequency is _________.
In general, the graph of has an amplitude of ______, a frequency of ________ and
a period of ___________ for .
3 View the graphs of , , and separately for
and .
4 Refer to each of the graphs, complete the following statements.
Annie Yeo/XMS/03/08/2010
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(a) The amplitude of the graph of is ________ and its frequency is _________.
(b) The amplitude of the graph of is _______ and its frequency is ________.
(c) The amplitude of the graph of is ________ and its frequency is _______.
(d) The amplitude of the graph of is ________ and its frequency is ________.
In general, the graph of has an amplitude of ______, a frequency of _____ and a
period of ________ for .
Hence, the graph of has an amplitude of ______, a frequency of _____ and a period of ________ for .
5 View the graphs of , , and separately for
and .
6 Refer to each of the graphs, complete the following statements.
(a) The amplitude of the graph of is _______ and its frequency is ________.
(b) The amplitude of the graph of is _______ and its frequency is ________.
(c) The amplitude of the graph of is ________ and its frequency is _______.
(d) The amplitude of the graph of is ________ and its frequency is _______.
In general, the graph of has an amplitude of _____, a frequency of ____ and a
period of ________ for .
Annie Yeo/XMS/03/08/2010
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7 View the graphs of , , and separately for
and .
8 Refer to each of the graphs, complete the following statements.
(a) The amplitude of the graph of is ________ and its frequency is _______.
(b) The amplitude of the graph of is _______ and its frequency is _______.
(c) The amplitude of the graph of is ________ and its frequency is _______.
(d) The amplitude of the graph of is _______ and its frequency is _______.
In general, the graph of has an amplitude of _____, a frequency of ____ and a
period of _____ for .
Hence, the graph of has an amplitude of _____, a frequency of ______ and a
period of ________ for
9 View the graphs of , , and separately for
and .
10 Refer to each of the graphs, complete the following statements.
(a) The amplitude of the graph of is __________ and its frequency is ________.
(b) The amplitude of the graph of is __________ and its frequency is _______.
(c) The amplitude of the graph of is __________ and its frequency is _______.
(d) The amplitude of the graph of is __________ and its frequency is _______.
In general, the graph of has an ___________ amplitude, a frequency of ____ and a
period of ________ for .
Annie Yeo/XMS/03/08/2010
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11 View the graphs of , , and separately for
and .
12 Refer to each of the graphs, complete the following statements.
(a) The amplitude of the graph of is ___________ and its frequency is _______.
(b) The amplitude of the graph of is __________ and its frequency is _______.
(c) The amplitude of the graph of is ___________ and its frequency is _______.
(d) The amplitude of the graph of is ___________ and its frequency is ______.
In general, the graph of has an __________ amplitude, a frequency of _____ and a
period of _____ for .
Hence, the graph of has an ___________amplitude, a frequency of ______ and a
period of ________ for .
Annie Yeo/XMS/03/08/2010
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XINMIN SECONDARY SCHOOLADDITIONAL MATHEMATICS
GRAPHS OF SINE AND COSINE FUNCTIONSWORKSHEET 3
Name: _____________________________( ) Date: _________Class: Sec _______
1 The graph of for is shown below. Sketch the graph of the function for on the same axes:
2 Sketch the graph of the function for .
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-2
-4
-6
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-2
-4
-6
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1.5
1
0.5
0
-0.5
-1
-1.5
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1.5
1
0.5
0
-0.5
-1
-1.5
y=sinx
8
3 The graph of for is shown below. Sketch the graph of the function
for on the same axes:
4 Sketch the graph of the function for .
Annie Yeo/XMS/03/08/2010
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1.5
1
0.5
0
-0.5
-1
-1.5
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1.5
1
0.5
0
-0.5
-1
-1.5
y=cosx
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1.5
1
0.5
0
-0.5
-1
-1.5
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1.5
1
0.5
0
-0.5
-1
-1.5
9
5 The graph of for is shown below. Sketch the graph of the function for on the same axes:
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-2
-4
-6
-8
-10
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-8
-10
asymptote asymptote
y=tanxx=90Vertical line through ( )270 ,06 Sketch the graph of the function for .
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-8
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-6
-8
7 Sketch the graph of the function for .
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-6
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-68 Sketch the graph of the function for .
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-6
-8
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-8
Annie Yeo/XMS/03/08/2010
