91Ó°ÊÓ

Eliminate the parameter \(t\) from each of the following and then sketch the graph of the plane curve: $$x=3+\sin t, y=2+\cos t$$

Find all degree solutions for each of the following: $$ \cos 8 \theta=\frac{1}{2} $$

For each of the following equations, solve for (a) all radian solutions and (b) \(t\) if \(0 \leq t<2 \pi\). Give all answers as exact values in radians. Do not use a calculator. $$4 \sin t-\sqrt{3}=2 \sin t$$

Eliminate the parameter \(t\) from each of the following and then sketch the graph of the plane curve: $$x=\sin t-2, y=\cos t-3$$

Solve each equation for \(x\) if \(0 \leq x<2 \pi\). Give your answers in radians using exact values only. $$ 4 \sin ^{2} x+4 \cos x-5=0 $$

Use your graphing calculator to find all degree solutions in the interval \(0^{\circ} \leq x<360^{\circ}\) for each of the following equations. $$ \sin 2 x=-\frac{\sqrt{2}}{2} $$

Use your graphing calculator to find all degree solutions in the interval \(0^{\circ} \leq x<360^{\circ}\) for each of the following equations. $$ \cos 2 x=-\frac{1}{2} $$

Solve each equation for \(x\) if \(0 \leq x<2 \pi\). Give your answers in radians using exact values only. $$ 4 \cos ^{2} x-4 \sin x-5=0 $$

For each of the following equations, solve for (a) all radian solutions and (b) \(t\) if \(0 \leq t<2 \pi\). Give all answers as exact values in radians. Do not use a calculator. $$\sqrt{3}+5 \sin t=3 \sin t$$

Eliminate the parameter \(t\) from each of the following and then sketch the graph of the plane curve: $$x=\cos t-3, y=\sin t+2$$