Solving Trig Equations

Solve sinθ = -1 on θ∈[0, 2π)

• θ = π /2, 3π /2 
• θ = π /2
• θ = 3π /2
• θ = π  

Solve
cos θ = -1
on  θ∈[0, 2π)

• θ = π /2, 3π /2 
• θ = π /2
• θ = 3π /2
• θ = π  

Solve for θ on the interval from [0, 2π).

cosθ = -½

• θ = π / 6, 7π / 6

• θ = π / 3, 5π / 3

• θ = 2π / 3, 4π / 3

• θ = 7π / 6, 11π / 6

• θ = π / 4, 3π / 4

• θ = 3π / 4, 5π / 4

• θ = 5π / 4, 7π / 4

• θ = π / 4, 7π / 4

• θ = 5π / 6, 7π / 6

• θ = 2π / 3, 4π / 3

• θ = π / 6, 11π / 6

• θ = π / 3, 5π / 3

Solve for θ on the interval from [0, 2π).

sin θ = 0  

• θ = π / 2, 3π / 2

• θ = undefined

• θ = 4π / 3, π / 3

• θ = 0, π

Solve for θ on the interval from [0, 2π).

sec θ = undefined  

• θ = π / 2, 3π / 2

• θ = undefined

• θ = 5π / 6, 7π / 6

• θ = 0, π

Solve for θ on the interval from [0, 2π).

cot θ = undefined  

• θ = π / 2, 3π / 2

• θ = undefined

• θ = 5π / 6, 7π / 6

• θ = 0, π

Which of these is NOT
 a solution to
tan θ = 0 ?

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

• 45, 225 , 330

• 150, 330

• 45, 225

• 45, 330