Formula Expander

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

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