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R₃ by Law of Cosines
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Expression 26: "G" Subscript, 1 , Baseline equals StartFraction, "D" Subscript, 1 , Baseline plus "C" Subscript, 1 , Baseline Over 2 , EndFraction
G
1
=
D
1
+
C
1
2
equals
=
2.2 3 9
2
.
2
3
9
26
Expression 27: "G" Subscript, 2 , Baseline equals "A" Subscript, 2 , Baseline equals 0
G
2
=
A
2
equals
=
0
0
27
Expression 28: "H" Subscript, 1 , Baseline equals "E" Subscript, 1 , Baseline
H
1
=
E
1
equals
=
negative 3.7 6 1
−
3
.
7
6
1
28
Expression 29: "H" Subscript, 2 , Baseline equals "R" Subscript, 1 , Baseline
H
2
=
R
1
equals
=
2.2 3 9
2
.
2
3
9
29
Expression 30: "F" Subscript, 1 , Baseline equals "G" Subscript, 1 , Baseline
F
1
=
G
1
equals
=
2.2 3 9
2
.
2
3
9
30
Expression 31: "F" Subscript, 2 , Baseline equals "R" Subscript, 2 , Baseline
F
2
=
R
2
equals
=
3.7 6 1
3
.
7
6
1
31
Expression 32: "S" Subscript, 1 , Baseline equals "E" Subscript, 1 , Baseline plus left parenthesis, "R" Subscript, 1 , Baseline plus "R" Subscript, 3 , Baseline , right parenthesis cosine 2 "C" Subscript, "E" "F" , Baseline
S
1
=
E
1
+
R
1
+
R
3
c
o
s
2
C
E
F
equals
=
negative 1.9 8 6 7 2 0 3 1 6 4 3
−
1
.
9
8
6
7
2
0
3
1
6
4
3
32
Expression 33: "S" Subscript, 2 , Baseline equals "E" Subscript, 2 , Baseline plus left parenthesis, "R" Subscript, 1 , Baseline plus "R" Subscript, 3 , Baseline , right parenthesis sine 2 "C" Subscript, "E" "F" , Baseline
S
2
=
E
2
+
R
1
+
R
3
s
i
n
2
C
E
F
equals
=
3.6 6 4 0 2 3 5 1 9 8 2
3
.
6
6
4
0
2
3
5
1
9
8
2
33
Graphs
Graphs
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34
Expression 35: "y" less than 40 Has graph. To audio trace, press ALT+T.
y
<
4
0
35
Hidden Label: left parenthesis, "E" Subscript, 1 , Baseline , "E" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "S" Subscript, 1 , Baseline , "S" Subscript, 2 , Baseline , right parenthesis equals a list of points. 2 items Has graph.
E
1
,
E
2
,
S
1
,
S
2
Label
equals
=
left parenthesis, negative 3.7 6 1 , 0 , right parenthesis
−
3
.
7
6
1
,
0
left parenthesis, negative 1.9 8 7 , 3.6 6 4 , right parenthesis
−
1
.
9
8
7
,
3
.
6
6
4
36
Hidden Label: left parenthesis, "E" Subscript, 1 , Baseline , "E" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "F" Subscript, 1 , Baseline , "F" Subscript, 2 , Baseline , right parenthesis equals a list of points. 2 items Has graph.
E
1
,
E
2
,
F
1
,
F
2
Label
equals
=
left parenthesis, negative 3.7 6 1 , 0 , right parenthesis
−
3
.
7
6
1
,
0
left parenthesis, 2.2 3 9 , 3.7 6 1 , right parenthesis
2
.
2
3
9
,
3
.
7
6
1
37
Hidden Label: left parenthesis, "G" Subscript, 1 , Baseline , "G" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "S" Subscript, 1 , Baseline , "S" Subscript, 2 , Baseline , right parenthesis equals a list of points. 2 items Has graph.
G
1
,
G
2
,
S
1
,
S
2
Label
equals
=
left parenthesis, 2.2 3 9 , 0 , right parenthesis
2
.
2
3
9
,
0
left parenthesis, negative 1.9 8 7 , 3.6 6 4 , right parenthesis
−
1
.
9
8
7
,
3
.
6
6
4
38
Hidden Label: left parenthesis, "E" Subscript, 1 , Baseline , "E" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "H" Subscript, 1 , Baseline , "H" Subscript, 2 , Baseline , right parenthesis equals a list of points. 2 items Has graph.
E
1
,
E
2
,
H
1
,
H
2
Label
equals
=
left parenthesis, negative 3.7 6 1 , 0 , right parenthesis
−
3
.
7
6
1
,
0
left parenthesis, negative 3.7 6 1 , 2.2 3 9 , right parenthesis
−
3
.
7
6
1
,
2
.
2
3
9
39
Hidden Label: left parenthesis, "G" Subscript, 1 , Baseline , "G" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "F" Subscript, 1 , Baseline , "F" Subscript, 2 , Baseline , right parenthesis equals a list of points. 2 items Has graph.
G
1
,
G
2
,
F
1
,
F
2
Label
equals
=
left parenthesis, 2.2 3 9 , 0 , right parenthesis
2
.
2
3
9
,
0
left parenthesis, 2.2 3 9 , 3.7 6 1 , right parenthesis
2
.
2
3
9
,
3
.
7
6
1
40
Hidden Label: left parenthesis, "G" Subscript, 1 , Baseline , "G" Subscript, 2 , Baseline , right parenthesis , left parenthesis, "H" Subscript, 1 , Baseline , "H" Subscript, 2 , Baseline , right parenthesis equals a list of points. 2 items Has graph. To audio trace, press ALT+T.
G
1
,
G
2
,
H
1
,
H
2
Label
equals
=
left parenthesis, 2.2 3 9 , 0 , right parenthesis
2
.
2
3
9
,
0
left parenthesis, negative 3.7 6 1 , 2.2 3 9 , right parenthesis
−
3
.
7
6
1
,
2
.
2
3
9
41
Expression 42: left parenthesis, "S" Subscript, 1 , Baseline plus "R" Subscript, 3 , Baseline cos "t" , "S" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline sin "t" , right parenthesis Has graph.
S
1
+
R
3
c
o
s
t
,
S
2
+
R
3
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 360
3
6
0
42
Expression 43: left parenthesis, "E" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "E" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis Has graph.
E
1
+
R
1
c
o
s
t
,
E
2
+
R
1
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
43
Expression 44: left parenthesis, "G" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "G" Subscript, 2 , Baseline plus "R" Subscript, 2 , Baseline sin "t" , right parenthesis Has graph.
G
1
+
R
2
c
o
s
t
,
G
2
+
R
2
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
44
Expression 45: left parenthesis, "E" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "E" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis Has graph.
E
1
+
R
1
c
o
s
t
,
E
2
+
R
1
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
45
Expression 46: left parenthesis, "G" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "G" Subscript, 2 , Baseline plus "R" Subscript, 2 , Baseline sin "t" , right parenthesis Has graph.
G
1
+
R
2
c
o
s
t
,
G
2
+
R
2
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
46
Expression 47: left parenthesis, "S" Subscript, 1 , Baseline plus "R" Subscript, 3 , Baseline cos "t" , "S" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline sin "t" , right parenthesis Has graph.
S
1
+
R
3
c
o
s
t
,
S
2
+
R
3
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 360
3
6
0
47
Expression 48: left parenthesis, "R" cos "t" , "R" sin "t" , right parenthesis Has graph.
R
c
o
s
t
,
R
s
i
n
t
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
48
Expression 49: polygon left parenthesis, "A" , "C" , right parenthesis Has graph.
p
o
l
y
g
o
n
A
,
C
49
Expression 50: left parenthesis, "S" Subscript, 1 , Baseline plus "t" "R" Subscript, 3 , Baseline , "S" Subscript, 2 , Baseline , right parenthesis Has graph.
S
1
+
t
R
3
,
S
2
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
1
1
domain t Maximum:
50
Points
Points
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51
64
powered by
powered by
O
S
A
C
D
E
F
G
H
Start black, "R" Subscript, 1 , Baseline End black
R
1
Start black, "R" Subscript, 2 , Baseline End black
R
2
Start black, "R" Subscript, 3 , Baseline End black
R
3
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
functions
(
(
)
)
less than
<
greater than
>
4
4
5
5
6
6
times
×
| "a" |
|
a
|
,
,
less than or equal to
≤
greater than or equal to
≥
1
1
2
2
3
3
negative
−
A B C
StartRoot, , EndRoot
pi
π
0
0
.
.
equals
=
positive
+
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