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Spherical Coordinate System
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The domain variable is a constant multiplied by π which defines the domain θ and φ will cover
The domain variable is a constant multiplied by π which defines the domain θ and φ will cover
13
Expression 14: "D" Subscript, "o" "m" "a" "i" "n" , Baseline equals 2
D
o
m
a
i
n
=
2
0
0
10
1
0
14
Plotting Individual Points
Plotting Individual Points
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15
Plot a single point along function ρ(θ, φ) using the table below
Plot a single point along function ρ(θ, φ) using the table below
16
theta Subscript, 1 , Baseline
θ
1
phi Subscript, 1 , Baseline
ϕ
1
rho left parenthesis, theta Subscript, 1 , Baseline , phi Subscript, 1 , Baseline , right parenthesis
ρ
θ
1
,
ϕ
1
StartFraction, pi Over 2 , EndFraction
π
2
StartFraction, pi Over 3 , EndFraction
π
3
r1c3: 1.5 7 0 7 9 6 3
1
.
5
7
0
7
9
6
3
r1c4:
r2c3:
r2c4:
17
Plot a single point on the coordinate system using the table below
Plot a single point on the coordinate system using the table below
18
rho Subscript, 2 , Baseline
ρ
2
theta Subscript, 2 , Baseline
θ
2
phi Subscript, 2 , Baseline
ϕ
2
6
6
StartFraction, pi Over 4 , EndFraction
π
4
StartFraction, pi Over 3 , EndFraction
π
3
r1c4:
r2c4:
19
Alternatively, you can also add as many plot points with different colors as you desire with the function P(ρ, θ, φ).
Alternatively, you can also add as many plot points with different colors as you desire with the function P(ρ, θ, φ).
20
Hidden Label: "P" left parenthesis, 6 , StartFraction, pi Over 2 , EndFraction , StartFraction, pi Over 3 , EndFraction , right parenthesis equals left parenthesis, 4.5 6 0 0 5 2 7 5 5 0 9 , 1.6 1 7 7 6 9 0 1 1 7 3 , right parenthesis Has graph. To audio trace, press ALT+T.
P
6
,
π
2
,
π
3
Label
equals
=
left parenthesis, 4.5 6 0 0 5 2 7 6 , 1.6 1 7 7 6 9 0 1 , right parenthesis
4
.
5
6
0
0
5
2
7
6
,
1
.
6
1
7
7
6
9
0
1
21
Perspective View
Perspective View
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22
Expression 23: theta Subscript, "h" "o" "r" "i" "z" "o" "n" "t" "a" "l" , Baseline equals 0.5
θ
h
o
r
i
z
o
n
t
a
l
=
0
.
5
negative pi
−
π
pi
π
23
Expression 24: theta Subscript, "v" "e" "r" "t" "i" "c" "a" "l" , Baseline equals negative 0.4 5
θ
v
e
r
t
i
c
a
l
=
−
0
.
4
5
negative pi
−
π
pi
π
24
Expression 25: theta Subscript, "c" "i" "r" "c" "u" "l" "a" "r" , Baseline equals 0
θ
c
i
r
c
u
l
a
r
=
0
negative pi
−
π
pi
π
25
Visual Representation Construction
Visual Representation Construction
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26
73
powered by
powered by
φ
θ
Perspective
(1.5707963, 1.5707963, 1.0471976)
(6, 0.78539816, 1.0471976)
"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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