The function Q_sin_taylor uses terms out to \(x^{9}\) and calculates them explicitly for input \(x\). Show via algebraic manipulation that the same truncated series sum can be found using only \(x\) and \(x^{2}\). Then, update Q_sin_taylor to use this form. Note that you will need to introduce new constants in place of the values used for st1 through st 4. Update Q_init as well to set these new values.