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Problem 12

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

Problem 12

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. $$\cos x=0.75$$

Problem 13

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. $$\cos x=-0.1250$$

Problem 13

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

Problem 13

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

Problem 13

Find all solutions if \(0 \leq x<2 \pi\). Use exact values only. Verify your answer graphically. $$ \sec 3 x=-1 $$

Problem 14

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

Problem 14

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. $$\sin x=-0.8125$$

Problem 14

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

Problem 14

Find all solutions if \(0 \leq x<2 \pi\). Use exact values only. Verify your answer graphically. $$ \csc 3 x=2 $$

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