Solving Basic Trig Equations

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4

CCSS.HSF.TF.B.7

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

cos x = -1

• 0

• π/2

• π

• 3π/2

• 2π

Tags

CCSS.HSF.TF.A.4

Solve sinθ = ½ on θ∈[0, 2π)

• θ = π / 6,  7π / 6
• θ = π / 6,  5π / 6
• θ = 5π / 6,  7π / 6
• θ = 7π / 6,  11π / 6

Tags

CCSS.HSF.TF.A.3

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

• θ = 0
• θ = π /2
• θ = π
• θ = 2π

Tags

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

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

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.B.7

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

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

• θ = π / 4, 3π / 4

• θ = 3π / 4, 5π / 4

• θ = 5π / 4, 7π / 4

• θ = π / 4, 7π / 4

Tags

CCSS.HSF.TF.B.7

• θ = 5π / 6, 7π / 6

• θ = 2π / 3, 4π / 3

• θ = π / 6, 11π / 6

• θ = π / 3, 5π / 3

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.B.7

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

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.3

CCSS.HSF.TF.A.4

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

Tags

CCSS.HSF.TF.A.2

CCSS.HSF.TF.A.4