Question
Asked Oct 15, 2019
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0<x<2pi

F(x)=-4cosx

G(x)=2cosx+3

graph f(x) and g(x) on the same coordinate system for 0<x<2pi and solve f(x)=g(x) on [0,2pi] and label point of intersection on the graph (both x and y values)

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Expert Answer

Step 1

Given,

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Step 2

The graph of both the functions is,

 

у
G(x) = 2cosx 3
F(x)= -4cosx
(27/3, 2)
(47/3, 2)
2
3
5
2
х
--2
pwAJP4CZI4V
help_outline

Image Transcriptionclose

у G(x) = 2cosx 3 F(x)= -4cosx (27/3, 2) (47/3, 2) 2 3 5 2 х --2 pwAJP4CZI4V

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Step 3

Now on simplifi...

F(x) G(x)
-4cosx 2 cosx+3
6cosx-3
1
cOsx
2
1
cos
COS
3
2
cosx cos
cosx coS
or
3
&cos
cos
3
3
2л
- or coSX- cos
3
477
COSX cos
3
2T
47T
or x=-
3
help_outline

Image Transcriptionclose

F(x) G(x) -4cosx 2 cosx+3 6cosx-3 1 cOsx 2 1 cos COS 3 2 cosx cos cosx coS or 3 &cos cos 3 3 2л - or coSX- cos 3 477 COSX cos 3 2T 47T or x=- 3

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Tagged in

Math

Trigonometry

Trigonometric Ratios