91Ó°ÊÓ

For each of the following equations, solve for (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Do not use a calculator. $$\sin \theta=-\frac{\sqrt{3}}{2}$$

Graph the plane curve for each pair of parametric equations by plotting points, and indicate the orientation on your graph using arrows. $$x=3 \cos t, y=3 \sin t$$

Find all solutions if \(0^{\circ} \leq \theta<360^{\circ}\). Verify your answer graphically. $$ \tan 2 \theta=-1 $$

Find all solutions if \(0^{\circ} \leq \theta<360^{\circ}\). Verify your answer graphically. $$ \cot 2 \theta=\sqrt{3} $$

For each of the following equations, solve for (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Do not use a calculator. $$\cos \theta=-\frac{\sqrt{2}}{2}$$

Solve each equation for \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). $$ 2 \sqrt{3} \sec \theta+7=3 $$

For each of the following equations, solve for (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Do not use a calculator. $$\tan \theta=\sqrt{3}$$

Solve each equation for \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). $$ 4 \sin \theta-2 \csc \theta=0 $$

Graph the plane curve for each pair of parametric equations by plotting points, and indicate the orientation on your graph using arrows. $$x=2+\sin t, y=3+\cos t$$

Find all solutions if \(0^{\circ} \leq \theta<360^{\circ}\). Verify your answer graphically. $$ \cos 3 \theta=-1 $$