Unit 6 Quiz Review

Solve equation for  $0\le\theta<2\pi$  .
 $1=5-8\cos\theta$  

•  $\theta=\frac{\pi}{6},\frac{\pi}{3},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{6},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{6}$  

•  $\theta=\frac{\pi}{3},\frac{5\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $-2+\cot\theta=-3$  

•  $\theta=\frac{3\pi}{4},\frac{4\pi}{3},\frac{7\pi}{4}$  

•  $\theta=\frac{3\pi}{4},\frac{7\pi}{4}$  

•  $\theta=\frac{\pi}{3},\frac{4\pi}{3}$  

•  $\theta=\frac{3\pi}{4},\frac{4\pi}{3}$  

Tags

CCSS.HSF.TF.B.7

 $Solve\ \ \ 4\cos x+3=5\ \ \ for\ 0\le x<360\degree$  

•  $x\ =\ 60\degree,\ 120\degree$  

•  $x\ =\ 60\degree,\ 300\degree$  

•  $x\ =\ 30\degree,\ 150\degree$  

•  $x\ =\ 30\degree,\ 330\degree$  

Tags

CCSS.HSF.TF.B.7

   $Solve\ \ \tan\ x\ +\ \sqrt{3}\ =\ 0\ \ for\ 0\ \le\ x\ <\ 360\degree$  

•  $30\degree,\ 210\degree$  

•  $150\degree,\ 330\degree$  

•  $60\degree,\ 240\degree$  

•  $120\degree,\ 300\degree$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $-1-2\sec^2\theta=-3\sec^2\theta$  

•  $\theta=0,\pi,\frac{4\pi}{3}$  

•  $\theta=0$  

•  $\theta=\frac{\pi}{4},\frac{3\pi}{4},\frac{5\pi}{4},\frac{7\pi}{4}$  

•  $\theta=0,\pi$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $1+\tan^2\theta=4\tan^2\theta$  

•  $\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6},\frac{11\pi}{6}$  

•  $\theta=\frac{\pi}{3},\frac{2\pi}{3},\frac{4\pi}{3},\frac{5\pi}{3}$  

•  $\theta=\frac{\pi}{6},\frac{7\pi}{6}$  

•  $\theta=\frac{\pi}{6},\frac{5\pi}{6},\frac{7\pi}{6}$  

Tags

CCSS.HSF.TF.B.7

Solve equation for  $0\le\theta<2\pi$  .
 $0=-3\cot\theta+2\sqrt{3}\cot\theta\sin\theta$  

•  $\theta=\frac{3\pi}{2}$  

•  $\theta=0,\frac{5\pi}{6},\pi,\frac{11\pi}{6}$  

•  $\theta=0,\frac{\pi}{2},\frac{3\pi}{2}$  

•  $\theta=\frac{\pi}{3},\frac{\pi}{2},\frac{2\pi}{3},\frac{3\pi}{2}$  

Tags

CCSS.HSF.TF.B.7

Solve the equation. Restrict your answer to [0,2π).

 $-2\sqrt{2}=4\sin3\theta$  

•  $\left\{\frac{\pi}{24},\frac{13\pi}{24},\frac{7\pi}{12},\frac{25\pi}{24},\frac{29\pi}{24},\frac{5\pi}{4},\frac{7\pi}{4}\right\}$  

•  $\left\{\frac{7\pi}{12},\frac{25\pi}{24},\frac{13\pi}{12},\frac{7\pi}{4},\frac{23\pi}{12}\right\}$  

•  $\left\{\frac{25\pi}{24},\frac{41\pi}{24},\frac{7\pi}{4}\right\}$  

•  $\left\{\frac{5\pi}{12},\frac{7\pi}{12},\frac{13\pi}{12},\frac{5\pi}{4},\frac{7\pi}{4},\frac{23\pi}{12}\right\}$  

Tags

CCSS.HSF.TF.B.7

Solve the equation for solutions in the interval [0°, 360°)
 $2\csc\theta-4=0$  

•  $\theta=\left\{-30\degree,\ 120\degree\right\}$  

•  $\theta=\left\{30°,\ 150°\right\}$  

•  $\theta=\left\{60°,\ 300°\right\}$  

•  $\theta=\left\{60°,\ 120°\right\}$  

Solve the equation for solutions in the interval [0°, 360°)
 $2\cos^2\theta+\cos\theta-1=0$  

•  $\theta=\left\{60°,180°,300°\right\}$  

•  $\theta=\left\{30°,120°,240°\right\}$  

•  $\theta=\left\{15°,75°,135°\right\}$  

•  $\theta=\left\{60°,120°,270°\right\}$