Identidades trigonometricas

    Cards (15)

    • sen2x=sen^{2}x=
      1cos2(x)1-cos^{2}(x)
    • cos2(x)=cos^{2}(x)=
      1sen2(x)1-sen^{2}(x)
    • sen2x=sen^{2}x=
      ==1cos2(x)2\frac {1-cos2(x)}{2}
    • cos2x=cos^{2}x=
      ==1+cos2(x)2\frac {1+cos2(x)}{2}
    • sec2(x)=sec^{2}(x)=
      ==1+1+tan2(x)tan^{2}(x)
    • csc2(x)=csc^{2}(x)=
      1+1+cot2(x)cot^{2}(x)
    • sen(2x)=sen(2x)=
      2sen(x)cos(x)2sen(x)cos(x)
    • cos(mx)cos(nx)=cos(mx)cos(nx)=
      ==12cos(mn)x+\frac {1}{2}cos(m-n)x+12cos(m+n)x\frac {1}{2}cos(m+n)x
    • sin(mx)sin(nx)=sin(mx)\cdot sin(nx)=
      12cos(m+n)x12cos(mn)x\frac {1}{2}cos(m+n)x-\frac{1}{2}cos(m-n)x
    • sin(x+y)=sin(x+y)=
      ==sin(x)cos(y)+sin(x)cos(y)+cos(x)sin(y)cos(x)sin(y)
    • cos(x+y)=cos(x+y)=
      cos(x)cos(y)sin(x)sin(y)cos(x)cos(y)-sin(x)sin(y)
    • sin(x)cos(x)sin(x)cos(x)
      ==12sin(2x) \frac {1}{2}sin(2x)
    • sin(x)cos(y)=sin(x)cos(y)=
      12(sin(xy)+\frac {1}{2}(sin(x-y)+sin(x+y))sin(x+y))
    • cos(2x)=cos(2x)=
      ==2cos2(x)12cos^2(x)-1
    • sin(x)+sin(x)+sin(y)=sin(y)=
      (2)sinx+y2cosxy2(2) \cdot sin\frac{x+y}{2} \cdot cos\frac{x-y}{2}
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