Solving Trig Equations

Solve sinθ = ½ from 0 to 2pi

• θ = π / 6, 7π / 6

• θ = π / 6, 5π / 6

• θ = 5π / 6, 7π / 6

• θ = 7π / 6, 11π / 6

Solve sinθ = -1 from 0 to 2pi

• θ = π /2, 3π /2

• θ = π /2

• θ = 3π /2

• θ = π

Which of the following is NOT
a solution to
sin θ = √(3) / 2 ?

• π / 3
• 2π / 3
• 5π / 3
• 7π / 3

TRUE or FALSE:
There is NO SOLUTION to sinθ = -1.

• TRUE
• FALSE

Solve

cos²θ = ½

from 0 to 2pi

• θ = π /4, 7π /4

• θ = π /4, 3π /4

• θ = 3π /4, 5π /4

• θ = π /4, 3π /4, 5π /4, 7π /4

2 sinθ+3=2

• π/6,2π/3
• 7π/6 
• 7π/6, 11π/6

Solve on the domain [0, 2π)
4sin²x = 3

• π/6, 11π/6
• π/3, 2π/3
• π/6, 5π/6, 7π/6, 11π/6
• π/3, 2π/3, 4π/3, 5π/3

 $\cos^2\theta-\cos\theta=0$  
Which of the following is not a solution from 0 to 2pi

• pi/2

• 2pi

• 2pi/3

• 3pi/2

 $4\sin^2\theta-4\ =0$  
Which is not a solution from 0 to 2pi

• pi/2

• pi

• 3pi/2

 $4\tan\theta=4$  Which of the following is not a solution from 0 to 2pi

• pi/4

• 5pi/4
  

• 3pi/4