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Mainly because the environment is not called multiline, it's called multline (without the 'i'). Try this:
[tex]
\begin{multline*}
\tan^n \theta=\tan^{n-2}\theta \tan^2 \theta\\ =\tan^{n-2}\theta(\sec^2\theta-1)=\tan^{n-2}\theta\sec^2\theta-\tan^{n-2}\theta
\end{multline*}
[/tex]
- Warren
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