Formula Expander

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

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