Loading...
Proof that CBD = 45°
Save Copy
Desmos Logo
Log In
Sign Up
Expression 31: "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
=
6.8 8 5
6
.
8
8
5
31
Expression 32: "G" Subscript, 2 , Baseline equals "A" Subscript, 2 , Baseline
G
2
=
A
2
equals
=
0
0
32
Expression 33: "H" Subscript, 1 , Baseline equals "E" Subscript, 1 , Baseline
H
1
=
E
1
equals
=
negative 2.1 1 5
−
2
.
1
1
5
33
Expression 34: "H" Subscript, 2 , Baseline equals "R" Subscript, 1 , Baseline
H
2
=
R
1
equals
=
6.8 8 5
6
.
8
8
5
34
Expression 35: "F" Subscript, 1 , Baseline equals "G" Subscript, 1 , Baseline
F
1
=
G
1
equals
=
6.8 8 5
6
.
8
8
5
35
Expression 36: "F" Subscript, 2 , Baseline equals "R" Subscript, 2 , Baseline
F
2
=
R
2
equals
=
2.1 1 5
2
.
1
1
5
36
Expression 37: "C" Subscript, "E" "F" , Baseline equals tangent to the negative 1st power StartFraction, "F" Subscript, 2 , Baseline Over "G" Subscript, 1 , Baseline minus "E" Subscript, 1 , Baseline , EndFraction
C
E
F
=
t
a
n
−
1
F
2
G
1
−
E
1
equals
=
13.2 2 4 5 5 1 1 9 2 2
1
3
.
2
2
4
5
5
1
1
9
2
2
37
Expression 38: "m" Subscript, 1 , Baseline equals tangent 2 "C" Subscript, "E" "F" , Baseline
m
1
=
t
a
n
2
C
E
F
equals
=
0.4 9 7 4 7 2 9 4 3 2 9 3
0
.
4
9
7
4
7
2
9
4
3
2
9
3
38
Expression 39: "A" Subscript, "G" "H" , Baseline equals tangent to the negative 1st power StartFraction, "H" Subscript, 2 , Baseline Over "E" Subscript, 1 , Baseline minus "G" Subscript, 1 , Baseline , EndFraction
A
G
H
=
t
a
n
−
1
H
2
E
1
−
G
1
equals
=
negative 37.4 1 5 9 8 8 6 1 8 6
−
3
7
.
4
1
5
9
8
8
6
1
8
6
39
Expression 40: "m" Subscript, 2 , Baseline equals tangent 2 "A" Subscript, "G" "H" , Baseline
m
2
=
t
a
n
2
A
G
H
equals
=
negative 3.6 8 8 7 4 6 9 1 0 9 8
−
3
.
6
8
8
7
4
6
9
1
0
9
8
40
Expression 41: "m" Subscript, 1 , Baseline left parenthesis, "x" minus "E" Subscript, 1 , Baseline , right parenthesis equals "m" Subscript, 2 , Baseline left parenthesis, "x" minus "G" Subscript, 1 , Baseline , right parenthesis
m
1
x
−
E
1
=
m
2
x
−
G
1
41
Expression 42: "S" Subscript, 1 , Baseline equals StartFraction, "m" Subscript, 1 , Baseline "E" Subscript, 1 , Baseline minus "m" Subscript, 2 , Baseline "G" Subscript, 1 , Baseline Over "m" Subscript, 1 , Baseline minus "m" Subscript, 2 , Baseline , EndFraction
S
1
=
m
1
E
1
−
m
2
G
1
m
1
−
m
2
equals
=
5.8 1 5 4 7 7 4 6 0 4 5
5
.
8
1
5
4
7
7
4
6
0
4
5
42
Expression 43: "S" Subscript, 2 , Baseline equals "m" Subscript, 2 , Baseline left parenthesis, "S" Subscript, 1 , Baseline minus "G" Subscript, 1 , Baseline , right parenthesis
S
2
=
m
2
S
1
−
G
1
equals
=
3.9 4 5 1 9 7 9 6 3 9 7
3
.
9
4
5
1
9
7
9
6
3
9
7
43
Graphs
Graphs
Hide this folder from students.
44
Expression 45: "y" less than 40
y
<
4
0
45
Expression 46: 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
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
46
Expression 47: 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
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
47
Expression 48: 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
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
48
Expression 49: 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
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
49
Expression 50: 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
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
50
Expression 51: 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
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
51
Expression 52: polygon left parenthesis, "B" , "D" , "B" , "C" , "B" , right parenthesis
p
o
l
y
g
o
n
B
,
D
,
B
,
C
,
B
52
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
G
1
,
G
2
,
H
1
,
H
2
Label
equals
=
left parenthesis, 6.8 8 5 , 0 , right parenthesis
6
.
8
8
5
,
0
left parenthesis, negative 2.1 1 5 , 6.8 8 5 , right parenthesis
−
2
.
1
1
5
,
6
.
8
8
5
53
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
E
1
,
E
2
,
H
1
,
H
2
Label
equals
=
left parenthesis, negative 2.1 1 5 , 0 , right parenthesis
−
2
.
1
1
5
,
0
left parenthesis, negative 2.1 1 5 , 6.8 8 5 , right parenthesis
−
2
.
1
1
5
,
6
.
8
8
5
54
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
G
1
,
G
2
,
F
1
,
F
2
Label
equals
=
left parenthesis, 6.8 8 5 , 0 , right parenthesis
6
.
8
8
5
,
0
left parenthesis, 6.8 8 5 , 2.1 1 5 , right parenthesis
6
.
8
8
5
,
2
.
1
1
5
55
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
E
1
,
E
2
,
F
1
,
F
2
Label
equals
=
left parenthesis, negative 2.1 1 5 , 0 , right parenthesis
−
2
.
1
1
5
,
0
left parenthesis, 6.8 8 5 , 2.1 1 5 , right parenthesis
6
.
8
8
5
,
2
.
1
1
5
56
Expression 57: "y" equals "m" Subscript, 2 , Baseline left parenthesis, "x" minus "G" Subscript, 1 , Baseline , right parenthesis
y
=
m
2
x
−
G
1
57
Expression 58: "y" equals "m" Subscript, 1 , Baseline left parenthesis, "x" minus "E" Subscript, 1 , Baseline , right parenthesis
y
=
m
1
x
−
E
1
58
Expression 59: left parenthesis, "R" cos "t" , "R" sin "t" , right parenthesis
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
59
Expression 60: polygon left parenthesis, "A" , "C" , right parenthesis
p
o
l
y
g
o
n
A
,
C
60
Points
Points
Hide this folder from students.
61
74
powered by
powered by
O
B
S
A
C
D
E
F
G
H
?
"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
+
Log In
or
Sign Up
to save your graphs!
New Blank Graph
Examples
Lines: Slope Intercept Form
example
Lines: Point Slope Form
example
Lines: Two Point Form
example
Parabolas: Standard Form
example
Parabolas: Vertex Form
example
Parabolas: Standard Form + Tangent
example
Trigonometry: Period and Amplitude
example
Trigonometry: Phase
example
Trigonometry: Wave Interference
example
Trigonometry: Unit Circle
example
Conic Sections: Circle
example
Conic Sections: Parabola and Focus
example
Conic Sections: Ellipse with Foci
example
Conic Sections: Hyperbola
example
Polar: Rose
example
Polar: Logarithmic Spiral
example
Polar: Limacon
example
Polar: Conic Sections
example
Parametric: Introduction
example
Parametric: Cycloid
example
Transformations: Translating a Function
example
Transformations: Scaling a Function
example
Transformations: Inverse of a Function
example
Statistics: Linear Regression
example
Statistics: Anscombe's Quartet
example
Statistics: 4th Order Polynomial
example
Lists: Family of sin Curves
example
Lists: Curve Stitching
example
Lists: Plotting a List of Points
example
Calculus: Derivatives
example
Calculus: Secant Line
example
Calculus: Tangent Line
example
Calculus: Taylor Expansion of sin(x)
example
Calculus: Integrals
example
Calculus: Integral with adjustable bounds
example
Calculus: Fundamental Theorem of Calculus
example
Terms of Service
|
Privacy Policy
