Solving Trigonometric Equations

Solve sinθ = -1 on θ∈[0, 2π)

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

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.TF.B.7

Solve: 4sin²x = 3

State all solutions in the interval [0, 2π)

• π/6, 11π/6

• π/3, 2π/3

• π/6, 5π/6, 7π/6, 11π/6

• π/3, 2π/3, 4π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

• greatest common factor

• cancel cosines

• combine like terms

• square roots

Tags

CCSS.HSF.TF.B.7

Solve for 0≤x≤2π

2cos²x + cosx = 0

• π/2, 3π/2

• 0, π,2π

• 2π/3, 4π/3

• π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Tags

CCSS.HSF.TF.B.7