Uploaded by Mark Reeve

IGCSE additional maths trigonometric graphs problems

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1
1
The diagram shows the graph of
radians.
Find the value of each of the constants a, b and c.
[4]
[Total: 4]
2
Write down the amplitude of
.
[1]
[Total: 1]
2
3
Write down the period of
.
[1]
[Total: 1]
4
On the axes below, sketch the graph of
for
[3]
[Total: 3]
3
5
The function g is defined, for −135° ≤ x ≤ 135°, by g(x ) =
Sketch the graph of y = g(x) on the
axes below, stating the coordinates of the point where the graph crosses the y-axis.
[2]
[Total: 2]
4
6
(a) On the axes below, sketch the graph of
for
.
[3]
(b) Write down the amplitude of
.
[1]
(c) Write down the period of
.
[1]
[Total: 5]
5
7
(a) On the axes below, sketch the graph of
for
.
[4]
(b) Write down the amplitude of y.
[1]
(c) Write down the period of y.
[1]
6
[Total: 6]
8
(a) Write down the amplitude of
.
[1]
(b) Write down the period of
.
[1]
(c) On the axes below, sketch the graph of
for
.
[3]
[Total: 5]
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