Solving Basic Trig Equations

• θ = 5π / 6, 7π / 6

• θ = 2π / 3, 4π / 3

• θ = π / 6, 11π / 6

• θ = π / 3, 5π / 3

Find all the solutions [0, 2π) for this equation:

cos x = -1

• 0

• π/2

• π

• 3π/2

• 2π

Solve
cosθ = - √(3)/2  
on θ∈[0, 2π)

• θ = π /3, 2π /3

• θ = 2π /3, 4π /3

• θ = π /6, 5π /6

• θ = 5π /6, 7π /6

• θ = π / 4, 3π / 4

• θ = 3π / 4, 5π / 4

• θ = 5π / 4, 7π / 4

• θ = π / 4, 7π / 4

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

Solve cosθ=1 on θ∈[0, 2π)

• θ = 0

• θ = π/2

• θ = π

• θ = 3π/2

Solve for 0≤x≤2π

4cos²x - 2 = 0

• π/3, 5π/3

• π/4, 7π/4

• 3π/4, 5π/4

• π/6, 11π/6