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Popular >

solvefor u,x=tanh(u)

Solución

resolver para

u, x = tanh (u)

Solución

u = \frac{1}{2} ln (\frac{x + 1}{1 - x}), u = ln (- \frac{x + 1}{1 - x})

Pasos de solución

x = tanh (u)

Intercambiar lados

tanh (u) = x

Re-escribir usando identidades trigonométricas

\frac{e ^{u} - e ^{- u}}{e ^{u} + e ^{- u}} = x

\frac{e ^{u} - e ^{- u}}{e ^{u} + e ^{- u}} = x : u = \frac{1}{2} ln (\frac{x + 1}{1 - x}) {- 1 < x < 1}, u = ln (- \frac{x + 1}{1 - x}) {Sin soluci \overset{o}{ˊ} n}

u = \frac{1}{2} ln (\frac{x + 1}{1 - x}), u = ln (- \frac{x + 1}{1 - x})

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tan(3x)+tan(5x)=0

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sin(x)= 1/2 sqrt(3)

sin (x) = \frac{1}{2} 3