Trigonometri Flashcards

1
Q

Arealsetningen

A

1/2 a b sin C

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2
Q

Sinussetningen

A

Sin A / a = sin B / b

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3
Q

Cosinussetningen

A

a^2 = b^2+c^2 - 2bc cos A

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4
Q

Enhetsformelen

A

sin^2 v + cos^2 v = 1

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5
Q

Cos (u-v)

A

cos u • cos v + sin u • sin v

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6
Q

cos u • cos v + sin u • sin v

A

Cos (u-v)

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7
Q

Sin (u+v)

A

sin u • cos v + cos u • sin v

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8
Q

sin u • cos v + cos u • sin v

A

Sin (u+v)

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9
Q

Tan (u+v)

A

(tan u + tan v) / (1 - tan u • tan v)

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10
Q

(tan u + tan v) / (1 - tan u • tan v)

A

tan (u+v)

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11
Q

Sin (2v)

A

2 sin v • cos v

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12
Q

2 sin v • cos v

A

Sin (2v)

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13
Q

cos (2v)

A

cos^2 v - sin^2 v

1 - 2 sin^2 v
2 cos^2 v - 1

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14
Q

cos^2 v - sin^2 v

1 - 2 sin^2 v
2 cos^2 v - 1

A

Cos (2v)

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15
Q

a sin (cx) + b cos (cx)

A

A sin (cx + Z)
A = sqrt(a^2 + b^2)
Sin Z = b
Cos Z = a
a - amplitude
c - frekvens (2pi / antall hakk mellom)
Z - faseforskyvning ( c• antall hakk førskjøvet)
d - likevektsstilling

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16
Q

sin x derrivert

17
Q

Cos x derrivert

18
Q

Tan x derrivert

A

1/cos^2 x
1 + tan^2 x