Mycket bra saker att kunna inför Dugga 2

The exercise was created 2017-09-19 by gunnar35. Question count: 61.




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  • Cos 0 = 1
  • Cos π/6 = √3/2
  • Cos π/4 = 1/√2
  • Cos π/3 = 1/2
  • Cos π/2 = 0
  • Sin 0 = 0
  • Sin π/6 = 1/2
  • Sin π/4 = 1/√2
  • Sin π/3 = √3/2
  • Sin π/2 = 1
  • Tan 0 = 0
  • Tan π/6 = 1/√3
  • Tan π/4 = 1
  • Tan π/3 = √3
  • Tan π/2 = Ej def
  • Cot 0 = Ej def
  • Cot π/6 = √3
  • Cot π/4 = 1
  • Cot π/3 = 1/√3
  • Cot π/2 = 0
  • Tan V = Motstående/Närliggande
  • Cot V = Närliggande/Motstående
  • Cos^2 + Sin^2 = 1
  • Cos (v+π) = - Cos v
  • Sin (v+π) = - sin v
  • Cos (π/2 - v) = Sin v
  • Sin (π/2 - v) = Cos v
  • Cos (-v) = Cos v
  • Sin (-v) = - sin v
  • Cos (π-v) = - cos v
  • Sin (π-v) = Sin v
  • Cos 2X = Cos (2X)
  • Sin V / Cos V = Tan V
  • Cos (u-v) = Cosucosv + sinusinv
  • Cos (u+v) = Cosucosv - sinusinv
  • Sin (u+v) = Sinucosv + cosusinv
  • Sin (u-v) = Sinucosv - cosusinv
  • (Cos(a+b)) = Cos(a-(-b))
  • Tan (u+v) = (Tanu-tanv) / (1-tanu *tanv)
  • ln (x/y) = lnx - lny
  • ln 1/x = -lnx
  • lnx^n = n*lnx
  • y=expx = x=lny
  • ln e^x = x
  • e^lnx = x
  • e^x*e^y = e^(x+y)
  • (e^x)/(e^y) = e^(x-y)
  • ln(x^b) = blnx
  • Asinx + Bcosx = Csin(x+v) och √(A^2+B^2)*(A/√(A^2+B^2)*sinx+B/√(A^2+B^2)*cosx)
  • a^2+b^2 = 1
  • a = cos v
  • b = sin v
  • C = √(A^2+B^2)
  • y=sinx = x=arcsiny
  • arcsin(sinx) = x
  • y=cosx = x=arccosy
  • l e^it l = √(cos^2t + sin^2t) = 1
  • e^z=e^x+iy = e^x(cosy+i*siny)
  • Skriv Z på polär form re^iw
  • cos t (eulers) = e^it+e^it/2
  • Sin t (eulers) = e^it - e^-it/2i

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