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Rotating Rectangles
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Uttryck 11: ( ( "a" * "t" ) / ( ( negative "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( negative "b" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( "c" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( negative "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
a
*
t
)
/
(
(
−
b
)
*
s
i
n
(
r
1
)
+
(
c
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
−
b
)
*
c
o
s
(
r
1
)
−
(
c
)
*
s
i
n
(
r
1
)
)
/
(
(
−
b
)
*
s
i
n
(
r
1
)
+
(
c
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
11
Uttryck 12: ( ( "a" * "t" ) / ( ( "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( negative "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( "b" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( negative "c" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( negative "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
a
*
t
)
/
(
(
b
)
*
s
i
n
(
r
1
)
+
(
−
c
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
b
)
*
c
o
s
(
r
1
)
−
(
−
c
)
*
s
i
n
(
r
1
)
)
/
(
(
b
)
*
s
i
n
(
r
1
)
+
(
−
c
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
12
Uttryck 13: ( ( "a" * "t" ) / ( ( "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( "b" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( "c" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
a
*
t
)
/
(
(
b
)
*
s
i
n
(
r
1
)
+
(
c
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
b
)
*
c
o
s
(
r
1
)
−
(
c
)
*
s
i
n
(
r
1
)
)
/
(
(
b
)
*
s
i
n
(
r
1
)
+
(
c
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
13
Uttryck 14: ( ( negative "a" ) / ( ( "b" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( negative "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( "b" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( negative "c" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( "b" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( negative "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
−
a
)
/
(
(
b
*
t
)
*
s
i
n
(
r
1
)
+
(
−
c
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
b
*
t
)
*
c
o
s
(
r
1
)
−
(
−
c
)
*
s
i
n
(
r
1
)
)
/
(
(
b
*
t
)
*
s
i
n
(
r
1
)
+
(
−
c
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
14
Uttryck 15: ( ( negative "a" ) / ( ( "b" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( "b" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( "c" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( "b" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
−
a
)
/
(
(
b
*
t
)
*
s
i
n
(
r
1
)
+
(
c
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
b
*
t
)
*
c
o
s
(
r
1
)
−
(
c
)
*
s
i
n
(
r
1
)
)
/
(
(
b
*
t
)
*
s
i
n
(
r
1
)
+
(
c
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
15
Uttryck 16: ( ( "a" ) / ( ( "b" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( negative "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( "b" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( negative "c" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( "b" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( negative "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
a
)
/
(
(
b
*
t
)
*
s
i
n
(
r
1
)
+
(
−
c
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
b
*
t
)
*
c
o
s
(
r
1
)
−
(
−
c
)
*
s
i
n
(
r
1
)
)
/
(
(
b
*
t
)
*
s
i
n
(
r
1
)
+
(
−
c
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
16
Uttryck 17: ( ( "a" ) / ( ( "b" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( "b" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( "c" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( "b" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
a
)
/
(
(
b
*
t
)
*
s
i
n
(
r
1
)
+
(
c
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
b
*
t
)
*
c
o
s
(
r
1
)
−
(
c
)
*
s
i
n
(
r
1
)
)
/
(
(
b
*
t
)
*
s
i
n
(
r
1
)
+
(
c
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
17
Uttryck 18: ( ( negative "a" ) / ( ( negative "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( negative "b" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( "c" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( negative "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
−
a
)
/
(
(
−
b
)
*
s
i
n
(
r
1
)
+
(
c
*
t
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
−
b
)
*
c
o
s
(
r
1
)
−
(
c
*
t
)
*
s
i
n
(
r
1
)
)
/
(
(
−
b
)
*
s
i
n
(
r
1
)
+
(
c
*
t
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
18
Uttryck 19: ( ( negative "a" ) / ( ( "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( "b" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( "c" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
−
a
)
/
(
(
b
)
*
s
i
n
(
r
1
)
+
(
c
*
t
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
b
)
*
c
o
s
(
r
1
)
−
(
c
*
t
)
*
s
i
n
(
r
1
)
)
/
(
(
b
)
*
s
i
n
(
r
1
)
+
(
c
*
t
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
19
Uttryck 20: ( ( "a" ) / ( ( negative "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( negative "b" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( "c" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( negative "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
a
)
/
(
(
−
b
)
*
s
i
n
(
r
1
)
+
(
c
*
t
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
−
b
)
*
c
o
s
(
r
1
)
−
(
c
*
t
)
*
s
i
n
(
r
1
)
)
/
(
(
−
b
)
*
s
i
n
(
r
1
)
+
(
c
*
t
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
20
Uttryck 21: ( ( "a" ) / ( ( "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) , ( ( "b" ) * cosine ( "r" Subscript, 1 , Baseline ) minus ( "c" * "t" ) * sine ( "r" Subscript, 1 , Baseline ) ) / ( ( "b" ) * sine ( "r" Subscript, 1 , Baseline ) plus ( "c" * "t" ) * cosine ( "r" Subscript, 1 , Baseline ) plus "d" ) )
(
(
a
)
/
(
(
b
)
*
s
i
n
(
r
1
)
+
(
c
*
t
)
*
c
o
s
(
r
1
)
+
d
)
,
(
(
b
)
*
c
o
s
(
r
1
)
−
(
c
*
t
)
*
s
i
n
(
r
1
)
)
/
(
(
b
)
*
s
i
n
(
r
1
)
+
(
c
*
t
)
*
c
o
s
(
r
1
)
+
d
)
)
domän t minimum: negative 1
−
1
less than or equal to "t" less than or equal to
≤
t
≤
domän t maximum: 1
1
21
22
driven av
driven av
"x"
x
"y"
y
"a" squared
a
2
"a" Superscript, "b" , Baseline
a
b
7
7
8
8
9
9
over
÷
funktioner
(
(
)
)
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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Exempel
Linjer: Linjära funktioner
exempel
Linjer: Enpunktsformeln
exempel
Linjer: Tvåpunktsformeln
exempel
Parabler: Standardform
exempel
Parabler: Vertexform
exempel
Parabler: Standardform och tangens
exempel
Trigonometri: Våglängd och amplitud
exempel
Trigonometri: Fas
exempel
Trigonometri: Interferens
exempel
Trigonometri: Enhetscirkeln
exempel
Kägelsnitt: Cirkel
exempel
Kägelsnitt: Parabel och fokus
exempel
Kägelsnitt: Ellips med fokus
exempel
Kägelsnitt: Hyperbel
exempel
Polära ekvationer: Ros
exempel
Polära ekvationer: Logaritmisk spiral
exempel
Polära ekvationer: Limacon
exempel
Polära ekvationer: Kägelsnitt
exempel
Parameterform: Introduktion
exempel
Parameterform: Cykloid
exempel
Transformation: Avbildning av en funktion
exempel
Transformation: Förändra skalan på en funktion
exempel
Transformation: Invers av en funktion
exempel
Statistik: Linjär regression
exempel
Statistik: Anscombs kvartett
exempel
Statistik: Polynom av 4:e grad
exempel
Listor: Sinuskurvor
exempel
Listor: Stickandet av kurvor
exempel
Listor: Rita en graf från en lista med punkter
exempel
Infinitesimalkalkyl: Derivata
exempel
Infinitesimalkalkyl: Sekantlinje
exempel
Infinitesimalkalkyl: Tangentlinje
exempel
Infinitesimalkalkyl: Taylorutveckling av sin(x)
exempel
Infinitesimalkalkyl: Integraler
exempel
Infinitesimalkalkyl: Integraler med justerbara gränser
exempel
Infinitesimalkalkyl: Analysens fundamentalsats
exempel
Användarvillkor
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