Additiondformler, dubbla/halva vinkeln, radianer Flashcards

1
Q

cos(u-v)

A

cos(u)cos(v)+sin(u)sin(v)

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2
Q

cos(u+v)

A

cos(u)cos(v)-sin(u)sin(v)

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3
Q

sin(u-v)

A

sin(u)cos(v)-cos(u)sin(v)

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4
Q

Sin(u+v)

A

sin(u)cos(v)+cos(u)sin(v)

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5
Q

Sin(2v)

A

Sin(2v)=2sin(v)cos(v)

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6
Q

Cos(2v)

A

Cos(2v) = cos²(v)-sin²(v)
= 2cos²(v)-1
= 1- 2sin²(v)

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7
Q

tan(2v)

A

tan(2v)= 2tan(v)/1-tan²(v)

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8
Q

cos(-v)

A

cos(-v) = cos(v)

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9
Q

cos (π-v)

A

cos (π-v) = -cos(v) = cos(π+v)

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10
Q

sin (-v)

A

sin(-v) = - sin (v)

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11
Q

sin(π-v)

A

sin(π-v) = sin(v)

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12
Q

sin(π+v)

A

sin(π+v)= -sin(v)

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13
Q

tan(-v)

A

tan(-v)= -tan(v)

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14
Q

tan(π-v)

A

tan(π-v)= -tan(v)

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15
Q

tan(π+v)

A

tan(π+v) = tan(v)

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16
Q

Trig.ettan

A

cos²+sin²=1

17
Q

cos(v/2)

A

cos(v/2)= ±√(1+cos(v))/2

18
Q

sin(v/2)

A

sin(v/2)=±√(1-cos(v))/2

19
Q

tan(v/2)

A

tan(v/2)=±√(1-cos(v))/(1+cos(v))

20
Q

Period för cos & sin

A

21
Q

Period för tan & cot

A

π

22
Q

A

360°

23
Q

π

A

180°

24
Q

π/3

A

60°

25
Q

2π/3

A

120°

26
Q

π/4

A

45°

27
Q

π/6

A

30°