Formula Expander

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

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