91Ó°ÊÓ

Find all solutions if \(0^{\circ} \leq \theta<360^{\circ}\). Verify your answer graphically. $$ \sin 5 \theta=-1 $$

Solve each equation for \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). $$ 4 \cos \theta-3 \sec \theta=0 $$

Graph the plane curve for each pair of parametric equations by plotting points, and indicate the orientation on your graph using arrows. $$x=3 \cos t-3, y=3 \sin t+1$$

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. $$\cot \theta=-1$$

For each of the following equations, solve for (a) all radian solutions and (b) \(x\) if \(0 \leq x<2 \pi\). Use a calculator to approximate all answers to the nearest hundredth. $$\sin x=0.25$$

Find all solutions if \(0 \leq x<2 \pi\). Use exact values only. Verify your answer graphically. $$ \cos 2 x=\frac{\sqrt{2}}{2} $$

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

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

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

Find all solutions if \(0 \leq x<2 \pi\). Use exact values only. Verify your answer graphically. $$ \sin 2 x=-\frac{1}{2} $$