91Ó°ÊÓ

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. $$\sqrt{3} \tan \theta-2 \sin \theta \tan \theta=0$$

$$ \text { Find all degree solutions. } $$ $$ 2 \cos ^{2} 2 \theta+3 \cos 2 \theta+1=0 $$

$$ \text { Find all degree solutions. } $$ $$ 2 \cos ^{2} 2 \theta-\cos 2 \theta-1=0 $$

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. $$\tan \theta-2 \cos \theta \tan \theta=0$$

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. $$2 \cos ^{2} \theta+11 \cos \theta=-5$$

$$ \text { Find all degree solutions. } $$ $$ \tan ^{2} 3 \theta=3 $$

$$ \text { Find all degree solutions. } $$ $$ \cot ^{2} 3 \theta=1 $$

For each of the following equations, solve for (a) all degree solutions and (b) \(\theta\) if \(0^{\circ} \leq \theta<360^{\circ}\). Do not use a calculator. $$2 \sin ^{2} \theta-7 \sin \theta=-3$$

The problems that follow review material we covered in Sections \(4.7\) and \(5.5\). Evaluate each expression. $$\cos \left(2 \tan ^{-1} x\right)$$

Use the quadratic formula to find (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. $$2 \sin ^{2} \theta-2 \sin \theta-1=0$$