91Ó°ÊÓ

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. $$3 \sin t+5=-2 \sin t$$

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

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. $$3 \sin t+4=4$$

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

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

Eliminate the parameter \(t\) from each of the following and then sketch the graph of the plane curve: $$x=4 \sin t-5, y=4 \cos t-3$$

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

Eliminate the parameter \(t\) in each of the following: $$x=\sec t, y=\tan t$$

Find all solutions in radians. Approximate your answers to the nearest hundredth. $$ \cos (2 x-1)=0.8 $$

Solve for \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). $$ \sqrt{3} \sin \theta+\cos \theta=\sqrt{3} $$