cscott
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[tex]
\begin{align*}<br />
\sin^2 \theta + 2 \sin \theta \cos \theta - 3 \cos^2 \theta = 0 \\<br />
(\sin \theta + 3 \cos \theta)(\sin \theta - \cos \theta) = 0 \\<br />
\end{align*}[/tex]
so,
[tex] \begin{align*}<br /> \sin \theta = \cos \theta\\<br /> \theta = \frac{\pi}{4} + \pi k, k \epsilon \mathbb{I}<br /> \end{align*}[/tex]
or
[tex] \begin{align*}<br /> \sin \theta = -3 \cos \theta\\<br /> \tan \theta = -3\\<br /> \theta = 5.03 + 2\pi k, k \epsilon \mathbb{I}; 1.89 + 2\pi k, k \epsilon \mathbb{I}<br /> \end{align*}[/tex]
How come this is incorrect?
...argh I can't align it properly
so,
[tex] \begin{align*}<br /> \sin \theta = \cos \theta\\<br /> \theta = \frac{\pi}{4} + \pi k, k \epsilon \mathbb{I}<br /> \end{align*}[/tex]
or
[tex] \begin{align*}<br /> \sin \theta = -3 \cos \theta\\<br /> \tan \theta = -3\\<br /> \theta = 5.03 + 2\pi k, k \epsilon \mathbb{I}; 1.89 + 2\pi k, k \epsilon \mathbb{I}<br /> \end{align*}[/tex]
How come this is incorrect?
...argh I can't align it properly
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