6/7 Classwork

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

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

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

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

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

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

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

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

•  $\theta=\frac{\pi}{6}$  

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

Solve equation for  $0\le\theta<2\pi$  .
 $-2=-5+3\sec\theta$  

•  $\theta=0,\frac{\pi}{3}$  

•  $\theta=0$  

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

•  $No\ Solution$  

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

•  $\theta=\pi$  

•  $\theta=\frac{7\pi}{4}$  

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

•  $\theta=0,\frac{3\pi}{4}$  

Solve equation for  $0\le\theta<2\pi$  .
 $2=-4-3\csc\theta$  

•  $\theta=\frac{2\pi}{3},\frac{7\pi}{6}$  

•  $\theta=\frac{\pi}{3}$  

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

•  $\theta=\frac{2\pi}{3},\frac{7\pi}{6},\frac{11\pi}{6}$  

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

•  $\theta=0,\pi,\frac{4\pi}{3}$  

•  $\theta=0$  

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

•  $\theta=0,\pi$  

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

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

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

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

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

Solve equation for  $0\le\theta<2\pi$  .
 $3\sin^2\theta+4=5+\sin^2\theta$  

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

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

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

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

Solve equation for  $0\le\theta<2\pi$  .
 $-3=\cot^2\theta-6$  

•  $\theta=\frac{\pi}{6},\frac{7\pi}{4},\frac{11\pi}{6}$  

•  $\theta=\frac{7\pi}{6},\frac{5\pi}{4},\frac{11\pi}{6}$  

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

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

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

•  $\theta=0,\frac{2\pi}{3},\pi,\frac{5\pi}{3}$  

•  $\theta=\frac{\pi}{2},\frac{7\pi}{6},\frac{3\pi}{2},\frac{11\pi}{6}$  

•  $\theta=0,\pi,\frac{4\pi}{3},\frac{5\pi}{3}$  

•  $\theta=0,\pi,\frac{5\pi}{3}$