- #1
cscott
- 782
- 1
[tex]
\begin{align*}
\sin^2 \theta + 2 \sin \theta \cos \theta - 3 \cos^2 \theta = 0 \\
(\sin \theta + 3 \cos \theta)(\sin \theta - \cos \theta) = 0 \\
\end{align*}
[/tex]
so,
[tex]
\begin{align*}
\sin \theta = \cos \theta\\
\theta = \frac{\pi}{4} + \pi k, k \epsilon \mathbb{I}
\end{align*}
[/tex]
or
[tex]
\begin{align*}
\sin \theta = -3 \cos \theta\\
\tan \theta = -3\\
\theta = 5.03 + 2\pi k, k \epsilon \mathbb{I}; 1.89 + 2\pi k, k \epsilon \mathbb{I}
\end{align*}
[/tex]
How come this is incorrect?
...argh I can't align it properly
\begin{align*}
\sin^2 \theta + 2 \sin \theta \cos \theta - 3 \cos^2 \theta = 0 \\
(\sin \theta + 3 \cos \theta)(\sin \theta - \cos \theta) = 0 \\
\end{align*}
[/tex]
so,
[tex]
\begin{align*}
\sin \theta = \cos \theta\\
\theta = \frac{\pi}{4} + \pi k, k \epsilon \mathbb{I}
\end{align*}
[/tex]
or
[tex]
\begin{align*}
\sin \theta = -3 \cos \theta\\
\tan \theta = -3\\
\theta = 5.03 + 2\pi k, k \epsilon \mathbb{I}; 1.89 + 2\pi k, k \epsilon \mathbb{I}
\end{align*}
[/tex]
How come this is incorrect?
...argh I can't align it properly
Last edited: