Sammanfattning Flashcards

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=

A

2sinu*cosu

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
Q

Formel för parioden

A

P=360/k

26
Q

A betyder

A

amplituden

27
Q

P betyder

A

perioden

28
Q

Amplitud och Period för y=sinx

A

A=1 P=360

29
Q

Amplitud och Period för y=2sinx

A

A=2 P=360

30
Q

Amplitud och Period för sin2x

A

A=1 P=180

31
Q

Förskjuten kurva

A

y=sin(x+v) + B

32
Q

y=sin(x+v) + B förskjutning uppåt i y led

A

B>0

33
Q

y=sin(x+v) + B förskjutning nedåt i y led

A

B<0

34
Q

y=sin(x+v) + B förskjutning vänster i x led

A

v>0

35
Q

y=sin(x+v) + B förskjutning höger i x led

A

v<0

36
Q

i kurvan y= asinx+bcosx kan även skrivas

A

y=csin(x+v) där
c=√(a^2+b^2) och tan v = b/a

37
Q

kurvan ytanx kan även skrivas

A

y=sinx/cosx

38
Q

Var är en tangensdunktion inte definerad?

A

x=90+n*180

39
Q

vilka linjer närmar sig y=tanx

A

x=90+n*180

40
Q

1 varv (360) i radianer

A

2π rad

41
Q

1/2 varv (180) i radianer

A

π rad

42
Q

1 grad i radianer

A

π/180 rad

43
Q

1 rad i grader

A

180/π grader

44
Q
A
45
Q
A