91Ó°ÊÓ

The problems that follow review material we covered in Section 6.3. Find all solutions in radians using exact values only. $$ \tan ^{2} 3 x=1 $$

Work An automobile is pushed down a level street by exerting a force of 85 pounds at an angle of \(15^{\circ}\) with the horizontal (Figure 5 ). How much work is done in pushing the car 110 feet?

Find all solutions in the interval \(0^{\circ} \leq \theta<360^{\circ}\). If rounding is necessary, round to the nearest tenth of a degree. $$ 2 \cos \theta-\sin 2 \theta=0 $$

Find all solutions in the interval \(0^{\circ} \leq \theta<360^{\circ}\). If rounding is necessary, round to the nearest tenth of a degree. $$ \cos 2 \theta+3 \cos \theta-2=0 $$

The problems that follow review material we covered in Section 6.3. Find all solutions in radians using exact values only. $$ \tan ^{2} 4 x=1 $$

Work Mark pulls Allison and Mattie in a wagon by exerting a force of 25 pounds on the handle at an angle of \(30^{\circ}\) with the horizontal (Figure 6). How much work is done by Mark in pulling the wagon 350 feet?

For each pair of vectors, find \(\mathbf{U}+\mathbf{V}, \mathbf{U}-\mathbf{V}\), and \(3 \mathbf{U}+2 \mathbf{V}\). $$\mathbf{U}=-\mathbf{i}+\mathbf{j}, \mathbf{V}=\mathbf{i}+\mathbf{j}$$

Find all degree solutions. \(2 \cos ^{2} 3 \theta-9 \cos 3 \theta+4=0\)

Find all solutions in the interval \(0^{\circ} \leq \theta<360^{\circ}\). If rounding is necessary, round to the nearest tenth of a degree. $$ 18 \sec ^{2} \theta-17 \tan \theta \sec \theta-12=0 $$

For each pair of vectors, find \(\mathbf{U}+\mathbf{V}, \mathbf{U}-\mathbf{V}\), and \(3 \mathbf{U}+2 \mathbf{V}\). $$\mathbf{U}=6 \mathbf{i}, \mathbf{V}=-8 \mathbf{j}$$