For each of the following equations, solve for [tex]$\theta$[/tex] if [tex]$0 \leq \theta < 360^{\circ}$[/tex]. Do not use a calculator and arrange your answers in ascending order.
1. [tex]$(2 \cos \theta + \sqrt{3})(2 \cos \theta - 1) = 0$[/tex]
- 60 [tex]$\square$[/tex] [tex]${ }^{\circ}$[/tex] (degrees)
- 150 [tex]$\square$[/tex] [tex]${ }^{\circ}$[/tex] (degrees)
- 210 [tex]$\square$[/tex] [tex]${ }^{\circ}$[/tex] (degrees)
- 300 [tex]$\square$[/tex] [tex]${ }^{\circ}$[/tex] (degrees)
2. [tex]$2 \cos^2 \theta + 11 \cos \theta = -5$[/tex]
- 120 [tex]$\square$[/tex] [tex]${ }^{\circ}$[/tex] (degrees)
- 240 [tex]$\square$[/tex] [tex]${ }^{\circ}$[/tex] (degrees)
3. [tex]$\cos 2 \theta \cos \theta - \sin 2 \theta \sin \theta = -\frac{\sqrt{2}}{2}$[/tex]
- 120 [tex]$\square$[/tex] [tex]${ }^{\circ}$[/tex] (degrees)
- 240 [tex]$\square$[/tex] [tex]${ }^{\circ}$[/tex] (degrees)
