Solving Trig Equations

Solve on the Interval [0,2π)

tan(x)+1=2

• 0

• 3π/4

• π/4 and 5π/4

• 3π/4 and 5π/4

Solve on the Interval [0,2π)

2 sinθ+3=2

• π/3,2π/3

• 4π/3

• 7π/6, 11π/6

• π/6, 5π/6

Solve on the interval [0,2π)
 $1=5-8\cos\theta$  

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

•  $\theta=\frac{\pi}{6}$  

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

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

 $2\sin x\ -\ 1\ =\ 1$  

•  $x=\pi$  

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

•  $x=0,\ 2\pi$  

• No solution

Solve on the interval [0, 2π)
 $\tan\ x\ +\ \sqrt{3}=0$  

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

•  $x=\frac{\pi}{3},\frac{4\pi}{3}$  

•  $x=\frac{\pi}{6},\frac{7\pi}{6}$  

•  $x=\frac{5\pi}{6}$  

Solve for all values on the interval [0,2π)

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

•  $x=\frac{\pi}{6},\ \frac{5\pi}{6}$  

•  $x=\frac{2\pi}{3}$  

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

Solve for all values on the interval [0,2π]

•  $x=\frac{7\pi}{6}$ 

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

•  $x=\frac{\pi}{3}\$ 

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