Loading...
Red Fraction in the limit = 3/8
Save Copy
Desmos Logo
Log In
Sign Up
Graphs
Graphs
Hide this folder from students.
26
Expression 27: 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: 360
3
6
0
27
Expression 28: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis
L
1
+
R
1
c
o
s
t
,
L
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
28
Expression 29: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline sin "t" , right parenthesis
L
1
+
R
2
c
o
s
t
,
L
2
+
R
1
+
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
29
Expression 30: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 3 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline sin "t" , right parenthesis
L
1
+
R
3
c
o
s
t
,
L
2
+
R
1
+
R
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: 180
1
8
0
30
Expression 31: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 4 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline sin "t" , right parenthesis
L
1
+
R
4
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
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
31
Expression 32: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 5 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline plus "R" Subscript, 5 , Baseline sin "t" , right parenthesis
L
1
+
R
5
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
+
R
5
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
32
Expression 33: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 6 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline plus "R" Subscript, 5 , Baseline plus "R" Subscript, 6 , Baseline sin "t" , right parenthesis
L
1
+
R
6
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
+
R
5
+
R
6
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
33
Expression 34: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 6 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline plus "R" Subscript, 5 , Baseline plus "R" Subscript, 6 , Baseline sin "t" , right parenthesis
L
1
+
R
6
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
+
R
5
+
R
6
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
34
Expression 35: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 6 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline plus "R" Subscript, 5 , Baseline plus "R" Subscript, 6 , Baseline sin 0 , right parenthesis
L
1
+
R
6
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
+
R
5
+
R
6
s
i
n
0
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
35
Expression 36: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 5 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline plus "R" Subscript, 5 , Baseline sin "t" , right parenthesis
L
1
+
R
5
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
+
R
5
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
36
Expression 37: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 5 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline plus "R" Subscript, 5 , Baseline sin 0 , right parenthesis
L
1
+
R
5
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
+
R
5
s
i
n
0
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
37
Expression 38: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 4 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline sin "t" , right parenthesis
L
1
+
R
4
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
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
38
Expression 39: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 4 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline plus "R" Subscript, 4 , Baseline sin 0 , right parenthesis
L
1
+
R
4
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
+
R
4
s
i
n
0
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
39
Expression 40: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 3 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline sin "t" , right parenthesis
L
1
+
R
3
c
o
s
t
,
L
2
+
R
1
+
R
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: 180
1
8
0
40
Expression 41: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 3 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline plus "R" Subscript, 3 , Baseline sin 0 , right parenthesis
L
1
+
R
3
c
o
s
t
,
L
2
+
R
1
+
R
2
+
R
3
s
i
n
0
0
0
domain t Minimum:
less than or equal to "t" less than or equal to
≤
t
≤
domain t Maximum: 180
1
8
0
41
Expression 42: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline sin "t" , right parenthesis
L
1
+
R
2
c
o
s
t
,
L
2
+
R
1
+
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
42
Expression 43: left parenthesis, "L" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline plus "R" Subscript, 2 , Baseline sin 0 , right parenthesis
L
1
+
R
2
c
o
s
t
,
L
2
+
R
1
+
R
2
s
i
n
0
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, "L" Subscript, 1 , Baseline plus "R" Subscript, 1 , Baseline cos "t" , "L" Subscript, 2 , Baseline plus "R" Subscript, 1 , Baseline sin "t" , right parenthesis
L
1
+
R
1
c
o
s
t
,
L
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
44
Expression 45: polygon left parenthesis, "A" , "B" , "C" , right parenthesis
p
o
l
y
g
o
n
A
,
B
,
C
45
Points
Points
Hide this folder from students.
46
O: "O" equals left parenthesis, "O" Subscript, 1 , Baseline , "O" Subscript, 2 , Baseline , right parenthesis
O
=
O
1
,
O
2
Label:
equals
=
left parenthesis, 0 , 0 , right parenthesis
0
,
0
47
A: "A" equals left parenthesis, "A" Subscript, 1 , Baseline , "A" Subscript, 2 , Baseline , right parenthesis
A
=
A
1
,
A
2
Label:
equals
=
left parenthesis, 0 , 6 , right parenthesis
0
,
6
48
B: "B" equals left parenthesis, "B" Subscript, 1 , Baseline , "B" Subscript, 2 , Baseline , right parenthesis
B
=
B
1
,
B
2
Label:
equals
=
left parenthesis, negative 5.1 9 6 1 5 2 4 2 , negative 3 , right parenthesis
−
5
.
1
9
6
1
5
2
4
2
,
−
3
49
C: "C" equals left parenthesis, "C" Subscript, 1 , Baseline , "C" Subscript, 2 , Baseline , right parenthesis
C
=
C
1
,
C
2
Label:
equals
=
left parenthesis, 5.1 9 6 1 5 2 4 2 , negative 3 , right parenthesis
5
.
1
9
6
1
5
2
4
2
,
−
3
50
L: "L" equals left parenthesis, "L" Subscript, 1 , Baseline , "L" Subscript, 2 , Baseline , right parenthesis
L
=
L
1
,
L
2
Label:
equals
=
left parenthesis, 0 , negative 3 , right parenthesis
0
,
−
3
51
52
powered by
powered by
O
A
B
C
L
"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