Formula Expander

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

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