Formula Expander

Por qué escribir :
`sin(tan(alpha))`
pudiendo escribir :
`((e^(i*(((tan(alpha))^2 + ((3*(tan(alpha / 3)) + (-1)*(tan(alpha))^3) / (1 + (-1)*3*(tan(alpha))^2))^4) / (((sin(2*alpha))*(1 + (tan(alpha))^2 / 2))^2))) + (-1)*e^((-1)*i*(((tan(alpha))^2 + ((3*(tan(alpha / 3)) + (-1)*(tan(alpha))^3) / (1 + (-1)*3*(tan(alpha))^2))^4) / (((sin(2*alpha))*(1 + (tan(alpha))^2 / 2))^2)))) / (2*i))*(cos((-1)*(-1)*(tan(alpha))^2)) + (cos(((tan(alpha))^2 + ((3*(tan(alpha / 3)) + (-1)*(tan(alpha))^3) / (1 + (-1)*3*(tan(alpha))^2))^4) / (((3*(tan(alpha / 3)) + (-1)*(tan(alpha))^3) / (1 + (-1)*3*(tan(alpha))^2))^2)))*(3*(sin(((-1)*(tan(alpha))^2) / 3)) + (-1)*4*(sin(((-1)*(tan(alpha))^2) / 3))^3)`

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