R2 Matte, kapittel 3: Trigonometri
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En samling av alle formlene jeg trenger for prøven
Last updated 6:03 PM on 1/16/23
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29 Terms
1
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Formel for radianer
v=b/r
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Omgjøring av radianer til grader
n°=(v/π)\*180°
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Omgjøring av grader til radianer
v=(n°/180°)\*π
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Cos(v+k\*360°)
Cos(v)
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Sin(v+k\*360)
Sin(v)
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Tan(v+k\*180°)
Tan(v)
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Cos(v+2π)
Cos(v)
8
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Sin(v+2π)
Sin(v)
9
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Tan(v+π)
Tan(v)
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Cos(-v)
Cos(v)
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Sin(-v)
\-Sin(v)
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Cos(180°-v)
\-Cos(v)
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Sin(180°-v)
Sin(v)
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Cos(90°-v)
Sin(v)
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Sin(90°-v)
Cos(v)
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Enhetsformelen
cos^2(v) + sin^2(v) = 1
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Sin(2v)
2sin(v)\*cos(v)
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Cos(2v)
Cos^2(v)-sin^2(v)
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Tan(2v)
2tan(v) / 1-tan^2(v)
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Sin(u±v)
Sin(u) \* cos(v) ± cos(u) \* sin(v)
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Cos(u±v)
Cos(u) \* cos(v) ∓ Sin(u) \* sin(v)
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Tan(u±v)
Tan(u) ± Tan(v) / 1 ∓ tan(u)\*tan(v)
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(sin(x))’
cos(x)
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ʃsin(x) dx
\-cos(x)+C
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(cos(x))’
\-sin(x)
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ʃcos(x) dx
sin(x) + C
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(tan(x))’
1/cos^2(x)
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ʃtan(x) dx
\-ln|cos(x)| + C
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Formelen for harmoniske svingninger
A\*sin(cx+φ)+d