Sammanfattning Flashcards

(45 cards)

1
Q

y-koordinaten för P

A

sin v

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2
Q

x-koordinaten för P

A

cos v

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3
Q

tan v =

A

sin v/cos v

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4
Q

sinus perioden

A

360 grader eller 2π rad

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5
Q

cosinus perioden

A

360 grader eller 2π rad

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6
Q

tangens perioden

A

180 grader eller π rad

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7
Q

samtliga lösningar till sin x

A

x1 = v+n360
x2 = (180-v)+n
360

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8
Q

samtliga lösningar till cos x

A

x1 = v+n360
x2 = -v+n
360

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9
Q

samtliga lösningar till tan x

A

x = v+n*180

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10
Q

(x,y) i andra kvadranten

A

(-x,y)

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11
Q

(x,y) i tredje kvadranten

A

(-x,-y)

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12
Q

(x,y) i fjärde kvadranten

A

(x,-y)

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13
Q

cos v =

A

cos(-v) = sin(90-v)

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14
Q

sin v =

A

sin(180-v) = cos(90-v)

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15
Q

-cos v =

A

cos(180-v)

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16
Q

-sin v =

A

sin(-v)

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17
Q

Trigonometriska ettan

A

sin^2u-cos^2u =1

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18
Q

sin(u+v) =

A

sinucosv+cosusinv

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19
Q

sin(u-v) =

A

sinucosv-cosusinv

20
Q

cos(u+v) =

A

cosucosv-sinusinv

21
Q

cos(u-v) =

A

cosucosv+sinusinv

22
Q

(dubbla vinkeln) sin 2u=

23
Q

(dubbla vinkeln) cos 2u=

A

cos^2u-sin^2u = 2cos^2u-1 = 1-2sin^2u

24
Q

Sinus och cosinus kurva formel

A

y=Acoskx
y=Asinkx

25
Formel för parioden
P=360/k
26
A betyder
amplituden
27
P betyder
perioden
28
Amplitud och Period för y=sinx
A=1 P=360
29
Amplitud och Period för y=2sinx
A=2 P=360
30
Amplitud och Period för sin2x
A=1 P=180
31
Förskjuten kurva
y=sin(x+v) + B
32
y=sin(x+v) + B förskjutning uppåt i y led
B>0
33
y=sin(x+v) + B förskjutning nedåt i y led
B<0
34
y=sin(x+v) + B förskjutning vänster i x led
v>0
35
y=sin(x+v) + B förskjutning höger i x led
v<0
36
i kurvan y= asinx+bcosx kan även skrivas
y=csin(x+v) där c=√(a^2+b^2) och tan v = b/a
37
kurvan ytanx kan även skrivas
y=sinx/cosx
38
Var är en tangensdunktion inte definerad?
x=90+n*180
39
vilka linjer närmar sig y=tanx
x=90+n*180
40
1 varv (360) i radianer
2π rad
41
1/2 varv (180) i radianer
π rad
42
1 grad i radianer
π/180 rad
43
1 rad i grader
180/π grader
44
45