Formula Expander

Por qué escribir :
`sin(tan(alpha))`
pudiendo escribir :
`(sqrt((((e^(i*(sin(2*alpha))*(1 + (tan(alpha))^2 / 2)) + (-1)*e^((-1)*i*(sin(2*alpha))*(1 + (tan(alpha))^2 / 2))) / (2*i))*((2*(tan(theta / 2))) / (1 + (tan(theta / 2))^2)))^2 + ((sin((tan(alpha))))*sum_((k_0)=0)^(infty)(((-1)*theta^2)^(k_0) / (fact(2*(k_0)))))^2))`

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