Trig Ratios in the Unit Circle

 $\tan\theta+1=2$  Solve on the Interval [0,2π)

• 0 and π 

• 3π/4 and 7π/4

• π/4 and 5π/4

• 3π/4 and 5π/4

 $2\sin\theta+3=2$  

• π/6,2π/3

• 7π/6 

• 7π/6, 11π/6

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

•  $\theta=\pi$  

•  $\theta=\frac{7\pi}{4}$  

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

•  $\theta=0,\frac{3\pi}{4}$  

For which value of  $\theta$  is cos $\theta$ = -1 ?

• $\frac{\pi}{2}$  and 

• $\pi$

•  $\frac{3}{2}\pi$ 

• $2\pi$

•  $270\degree$ 

Choose all true statements:

• $Sin\left(\frac{\pi}{6}\right)=\frac{1}{2}$

• $Sin\left(30\right)=\frac{\sqrt{3}}{2}$

• $Cos\left(\frac{\pi}{6}\right)=\frac{1}{2}$

• $Cos\left(30\right)=\frac{\sqrt{3}}{2}$

• $Sin\left(\frac{\pi}{6}\right)=\frac{\sqrt{3}}{2}$

Answer explanation

Find the Values for $\theta$ : 

•  $330\degree$  

•  $\frac{-\pi}{6}$  

•  $\frac{7\pi}{6}$  

•  $240\degree$  

•  $\frac{5\pi}{6}$  

Answer explanation

sin π/4

• √2∕2
• 1/2
• √3/2
• 0