Solving Trig Equations with Unit Circle and more

Use the unit circle to solve for  $\theta$   

 $2\sin\theta+1=0$  

• π/4 and 5π/4

• π/6 and 7π/6

• 7π/6 and 11π/6

• 3π/4 and 5π/4

Use the Unit Circle to solve for  $\theta$  

cos θ + 1 = 0

• θ = π /2, 3π /2

• θ = π /2

• θ = 3π /2

• θ = π

Use the unit circle to solve for  $\theta$   

tan θ + 1 = 2

• 0 and π

• 3π/4 and 7π/4

• π/4 and 5π/4

• 3π/4 and 5π/4

Use the Unit Circle to solve for  $\theta$  

 $2\cos\theta+\sqrt{2}=0$  

•  $\theta=45\degree\ and\ 135\degree$  

•  $\theta=135\degree\ and\ 225\degree$  

•  $\theta=45\degree\ and\ 315\degree$  

•  $\theta=225\degree\ and\ 315\degree$  

Use the Unit Circle to solve for  $\theta$  

 $\tan\theta-2=-3$  

•  $\theta=45\degree\ and\ 135\degree$  

•  $\theta=135\degree\ and\ 225\degree$  

•  $\theta=135\degree\ and\ 315\degree$  

•  $\theta=225\degree\ and\ 315\degree$  

Use the Unit Circle to solve for  $\theta$  

 $8\csc\theta-2=14$  

•  $\theta=30\degree\ and\ 150\degree$  

•  $\theta=60\degree\ and\ 120\degree$  

•  $\theta=210\degree\ and\ 330\degree$  

•  $\theta=150\degree\ and\ 300\degree$  

Use the Unit Circle to solve for  $\theta$  

 $4\cos^2\theta\ -3\ =0$  

•  $\theta=30\degree\ and\ 330\degree$  

•  $\theta=30\degree,\ 150\degree,\ 210\degree,\ and\ 330\degree$  

•  $\theta=60\degree,\ 120\degree,\ 240\degree,\ and\ 300\degree$  

•  $\theta=30\degree\ and\ 150\degree$  

Use the unit circle to solve for  $\theta$  

 2 cosθ - 4 = 0 

• θ = π/6, 11π/6

• θ = π/3 , 5π/3 

• θ = 2π/3, 4π/3 

• No Solution on the Unit Circle

How many degrees is ^π/₆ radians?

• 90°
• 60°
• 45°
• 30°

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

What is the exact coordinates of  3π/4 on the unit circle?

• (−√2∕2, √2∕2)
• (−√2∕2, −√2∕2)
• (−√3∕2, −√2∕2)
• (√2∕2, −√2∕2)

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.C.8