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Rechengesetze Logarithmus, Potenzen und Trigonometrische Funktionen

Rechengesetze Logarithmus, Potenzen und Trigonometrische Funktionen

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Die grundlegenden Rechengesetze für Logarithmen und Potenzen

Items (19)

  • a^(x+y)

    a^x * a^y

  • a^-x

    1/a^x

  • a^0

    1

  • (a^x)^r

    a^(xr)

  • log(x)

    ln(x)/ln(10)

  • log(xy)

    log(x)+log(y)

  • log(1/x)

    -log(x)

  • log(1)

    0

  • log(x^r)

    r*log(x)

  • cos²x+sin²x

    1

  • cos(x)

    1/2 * [e^(ix)+e^(-ix)]

  • e^(ix)

    cos(x)+i*sin(x)

  • sin(x)

    1/2i *[e^(ix)-e^(-ix)]

  • cosh(x)

    1/2 * [e^(x)+e^(-x)]

  • sinh(x)

    1/2 * [e^(x)-e^(-x)]

  • tan(x)

    sin(x)/cos(x)

  • e^(i*pi)

    -1

  • e^(i*2pi)

    1

  • e^(i*2pi*n) , n=ganzzahlig

    1