Matematik och fysikprov

The exercise was created 2024-05-17 by Gurg. Question count: 32.




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  • sin30 /sin(n/6) 1/2
  • sin(45) / sin(n/4) 1/sqrt(2)
  • sin(60) / sin(n/3) sqrt(3)/2
  • sin(90) / sin(n/2) 1
  • sin(120) / sin(2n/3) sqrt(3)/2
  • sin(135) / sin(3n/4) 1/sqrt(2)
  • sin(180) / sin(n) 0
  • cos(0) 1
  • cos(30) / cos(n/6) sqrt(3)/2
  • cos(45) / cos(n/4) 1/sqrt(2)
  • cos(60) / cos(n/3) 1/2
  • cos(90) / cos(n/2) 0
  • cos(120) / cos(2n/3) -1/2
  • cos(135) / cos(3n/4) -1/sqrt(2)
  • cos(150) / cos(5n/6) -sqrt(3)/2
  • cos(180) / cos(n) -1
  • cosinussatse a**2 = b**2 + c**2 -2bc * cos A
  • areasatsen Area = (ab * sinC)/2
  • sin2x 2sin(x)cos(x)
  • cos2x cos**2(x)-sin**2(x), 2cos**2(x) - 1, 1 - 2sin**2(x)
  • a**3-b**3 (a-b)(a**2 + ab + b**2)
  • sin(x) + sin(y) 2sin((x+y)/2)*cos((x-y)/2)
  • sin(x) - sin(y) 2cos((x+y)/2)*sin((x-y)/2)
  • cos(x)+cos(y) 2cos((x+y)/2)*cos((x-y)/2)
  • cos(x)-cos(y) -2sin((x+y)/2)*sin((x-y)/2)
  • sin(x+y) sin(x)cos(y) + cos(x)sin(y)
  • sin(x-y) sin(x)cos(y) - cos(x)sin(y)
  • cos(x+y) cos(x)cos(y) - sin(x)sin(y)
  • cos(x-y) cos(x)cos(y) + sin(x)sin(y)
  • ln(x) lg(x)/lg(e)
  • Om α, β och γ är vinklarna i en triangel, så gäller att sin(y) = sin(a+B)
  • Dopplereffekt: sändare och mottagare närmar sig varandra fm=fs*(Vljud + Vmot)/(Vljud - Vsänd)

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