Formula Expander

Por qué escribir :
`sin(tan(alpha))`
pudiendo escribir :
`(-1)*(sin((-1)*(log(e^(sum_((k_0)=0)^(infty)(((-1)*(2*pi)^2)^(k_0) / (fact(2*(k_0))))*(sin(2*alpha))*(1 + ((sin(pi / 2))*((sin(alpha)) / (cos(alpha)))^2) / 2)))))) + (log(1))`

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