Formula Expander

Por qué escribir :
`sin(tan(alpha))`
pudiendo escribir :
`(sqrt((((2*(tan(theta / 2))) / (1 + (tan(theta / 2))^2))*3*((e^(i*(log(e^((tan(alpha)) / 3)))) + (-1)*e^((-1)*i*(log(e^((tan(alpha)) / 3))))) / (2*i)))^2 + (sum_((k_0)=0)^(infty)(((-1)*theta^2)^(k_0) / (fact(2*(k_0))))*3*((2*(tan((log(e^((tan(alpha)) / 3))) / 2))) / (1 + (tan((log(e^((tan(alpha)) / 3))) / 2))^2)))^2)) + (-4)*(sin(pi / 2))*(sin((tan(alpha)) / 3))^3`

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