Trig equations

3 $\sqrt{3}$  = -3 tan $\theta$  

•  $\left\{\frac{5\pi}{6}\right\}$  

•  $\left\{\frac{2\pi}{3},\ \frac{5\pi}{3}\right\}$  

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

•  $\left\{\frac{11\pi}{6}\right\}$  

 $1\ -\ \tan^2\theta\ =\ 3\tan^2\theta$  

•  $\left\{\frac{\pi}{3},\ \frac{2\pi}{3},\ \frac{4\pi}{3},\ \frac{5\pi}{3}\right\}$  

•  $\left\{\frac{\pi}{6},\ \frac{11\pi}{6}\right\}$  

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

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

 $1\ +\ \csc^2\theta\ =\ 3\csc\theta\ -\ 1$  

•  $\left\{\frac{\pi}{6},\ \frac{\pi}{2},\ \frac{5\pi}{6}\right\}$  

•  $\left\{\frac{\pi}{2},\ \frac{7\pi}{6},\ \frac{11\pi}{6}\right\}$  

•  $\left\{\frac{\pi}{6},\ \frac{3\pi}{4}\right\}$  

•  $\left\{\frac{\pi}{6},\ \frac{5\pi}{6}\right\}$  

 $\sin\theta\ +\ 2\sin2\theta\ =\ 3\sin2\theta$  

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

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

•  $\left\{0,\ \frac{\pi}{3},\ \frac{3\pi}{2},\ \frac{5\pi}{3}\right\}$  

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

 $2\cos\theta\ =\ 3\ +4\sin\frac{\theta}{2}$  

• No solution

•  $\left\{\pi\right\}$  

•  $\left\{\frac{\pi}{2}\right\}$  

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