5.1 Given f(x)= 2cos 3x. 5.1.1 Use the grid on DIAGRAM SHEET 2 and draw a sketch graph of f for the interval xE-90° : 90°]. Clearly show all intercepts with the axes and turning points of the graph. 5.1.2 Write down the period of f. 5.1.3 Write down the range of f.
5.1 Given f(x)= 2cos 3x. 5.1.1 Use the grid on DIAGRAM SHEET 2 and draw a sketch graph of f for the interval xE-90° : 90°]. Clearly show all intercepts with the axes and turning points of the graph. 5.1.2 Write down the period of f. 5.1.3 Write down the range of f.
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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![5.1
Given f(x)=2cos 3x.
5.1.1
Use the grid on DIAGRAM SHEET 2 and draw a sketch graph of f for
the interval xe[-90°: 90°]. Clearly show all intercepts with the axes
and turning points of the graph.
5.1.2
Write down the period of f.
5.1.3 Write down the range of f.
In the diagram below the graphs of g(x)=sin(x+a) and h(x)=btancx are
drawn in the interval xe-180° ; 180°]. g and h intersect at D and E.
5.2
The coordinates of D are (-135° ; -1) and the coordinates of E are
approximately (-22,3° ; 0,4).
-1809
-1350
445°
0°
45°
90°
135°
180°
-0.5
D
1.5
5.2.1
Write down the values of a, b and c.
5.2.2
Write down the equations of the asymptotes of h in the interval
[-180° ; 180°].
5.2.3
Solve for x if g(x)-h(x)20 in the interval [-180°; 0°].
5.2.4 Describe the transformation of g to m if m(x)=Dc
cOs x-1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd8de3108-4e85-4cc0-8d9b-7780be9bb07f%2Fa11b8b74-d110-4919-a747-46e7ec424880%2Fg7qwtso_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5.1
Given f(x)=2cos 3x.
5.1.1
Use the grid on DIAGRAM SHEET 2 and draw a sketch graph of f for
the interval xe[-90°: 90°]. Clearly show all intercepts with the axes
and turning points of the graph.
5.1.2
Write down the period of f.
5.1.3 Write down the range of f.
In the diagram below the graphs of g(x)=sin(x+a) and h(x)=btancx are
drawn in the interval xe-180° ; 180°]. g and h intersect at D and E.
5.2
The coordinates of D are (-135° ; -1) and the coordinates of E are
approximately (-22,3° ; 0,4).
-1809
-1350
445°
0°
45°
90°
135°
180°
-0.5
D
1.5
5.2.1
Write down the values of a, b and c.
5.2.2
Write down the equations of the asymptotes of h in the interval
[-180° ; 180°].
5.2.3
Solve for x if g(x)-h(x)20 in the interval [-180°; 0°].
5.2.4 Describe the transformation of g to m if m(x)=Dc
cOs x-1.
Transcribed Image Text:QUESTION 6
In the diagram the graphs of f(x)=cosx and g(x)= sin(x+b) are drawn for
the interval-180°Sx<90°.
1.5
0.5
-180
-150
-120
90
-60
30
0.
30
60
90
-0.5
-1
-1.5
6.1
Write down the value of b.
6.2
Write down the period of
g.
6.3
Write down the value(s) of
in the interval
- 180°s x s 90°
for which
f(x)-g(x)=D0.
6.4
For which values of x in the interval -180°s x< 90° is sin(90°-x) >g(x)?
6.5
The graph of h is obtained by shifting f 3 units upwards. Determine the range of h.
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