trig equations

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

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

•  $\theta=\frac{3\pi}{2}$  

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

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

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

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

•  $\theta=\frac{3\pi}{2}$  

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

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

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