91Ó°ÊÓ

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

\(\cos 3 \theta=0\)

For each of the following equations, solve for (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Use a calculator to approximate all answers to the nearest tenth of a degree. $$ 2 \cos \theta-5=3 \cos \theta-2 $$

For each of the following equations, solve for (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Use a calculator to approximate all answers to the nearest tenth of a degree. $$ 4 \cos \theta-1=3 \cos \theta+4 $$

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

\(\cos 3 \theta=-1\)

For each of the following equations, solve for (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Use a calculator to approximate all answers to the nearest tenth of a degree. $$ \sin \theta-3=5 \sin \theta $$

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

\(\sin 10 \theta=\frac{\sqrt{3}}{2}\)

For each of the following equations, solve for (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Use a calculator to approximate all answers to the nearest tenth of a degree. $$ \sin \theta-4=-2 \sin \theta $$