Solve Trig Equations #2

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°)
 $2\cos^2\theta+\cos\theta-1=0$  

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

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

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

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

Solve the equation for solutions in the interval  $[0,\ 2\pi)$  
 $4\cos^2\theta-3=0$  

•  $\theta=\left\{0,\frac{2\pi}{3},\frac{4\pi}{3}\right\}$  

•  $\theta=\left\{\frac{\pi}{2},\frac{2\pi}{3},\frac{5\pi}{3},\frac{7\pi}{6}\right\}$  

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

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

Solve the equation for solutions in the interval  $[0,\ 2\pi)$  
 $-5+\frac{3}{4}\cot\theta=\frac{-20+\sqrt{3}}{4}$  

•  $\theta=\left\{\frac{\pi}{3}\right\}$  

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

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

•  $\theta=\left\{\frac{4\pi}{3}\right\}$  

Solve the equation for solutions in the interval [0°, 360°)
 $-1+\frac{1}{3}\csc\theta=-\frac{5}{3}$  

• No Solution

•  $\theta=\left\{210°,330\degree\right\}$  

•  $\theta=\left\{210°,270°,330°\right\}$  

•  $\theta=\left\{240°,270°\right\}$