Formula Expander

Por qué escribir :
`sin(tan(alpha))`
pudiendo escribir :
`(3*(tan(((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2) / 3)) + (-1)*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^3) / (1 + (-1)*3*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^2) + (-1)*(((3*(tan(((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2) / 3)) + (-1)*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^3) / (1 + (-1)*3*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^2))^3 / (((3)!))) + ((3*(tan(((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2) / 3)) + (-1)*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^3) / (1 + (-1)*3*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^2))^5 / (((5)!)) + (-1)*(((3*(tan(((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2) / 3)) + (-1)*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^3) / (1 + (-1)*3*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^2))^7 / (((7)!))) + (O(((3*(tan(((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2) / 3)) + (-1)*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^3) / (1 + (-1)*3*(tan((alpha^2 + alpha^4) / (alpha^2) + (-1)*alpha^2))^2))^9))`

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