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Graphs of Trigonometric Functions
· This chapter focuses on using graphs of
sin, cos and tan
· We will be seeing how to work out values
of these from the graphs
· We are also going to look at
transformations of these graphs…read more

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Slide 5

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Graphs of Trigonometric Functions
y y = sin
You need to be able to recognise 1
the graphs of sin, cos and tan
0
-360º -270º -180º -90º 90º 180º 270º 360º
You will have seen all these graphs on -1
your GCSE
y
The key points to remember are the y = cos
peaks/troughs of each, and the points 1
of intersection
0
-360º -270º -180º -90º 90º 180º 270º 360º
The Cos graph is the same as the Sin
graph, but shifted along (it starts at 1 -1
instead of 0)
y = tan
The Tan graph has lines called
asymptotes. These are points the 1
graph approaches but never reaches
(90º, 270º etc...)
0
-360º -270º -180º -90º 90º 180º 270º 360º
-1
Period (length of wave) = 360º for
Sin and Cos, and 180º for Tan
8C…read more

Slide 6

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Graphs of Trigonometric Functions
y y = sin
1
You need to be able to
recognise the graphs of sin, 0
-2
-360º -3
-270º -
-180º -
-90º 2
90º
180º 3
270º 360º
2
cos and tan 2
2 2
-1
These are the same graphs, but
with radians instead... y
y = cos
1
0
-2
-360º -3
-270º -
-180º -
-90º 2
90º
180º 3
270º 360º
2
2 2 2
-1
y = tan
1
- 0 2
-2
-360º -3
-270º -
-180º -90º 90º
180º 3
270º 360º
2
2 2 2
-1
8C…read more

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