Solving Trig Functions

Please solve on the interval 0≤θ≤2π
2 sin ² θ - 1 = 0

• θ={ 0, π/2, π, 3π/2, 2π }
• θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
• θ={ 0, π , 2π }
• θ={ π/3, 5π/3 }

Tags

CCSS.HSF.TF.B.7

Please solve on the interval 0≤θ≤2π
tan (2θ) = 0

• θ={ 0, π/2, π, 3π/2, 2π }
• θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
• θ={ 0, π , 2π }
• θ={ π/3, 5π/3 }

Tags

CCSS.HSF.TF.B.7

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

Tags

CCSS.HSF.TF.B.7

Solve on the domain [0, 2π)
2sin x cos x = √2 cos x

• π/2, 3π/2
• 0, π/4, 3π/4
• π/2, 3π/2, π/4, 3π/4
• No solution

Tags

CCSS.HSF.TF.B.7

Please solve on the interval 0≤θ≤2π
sin θ = 0

• θ={ 0, π/2, π, 3π/2, 2π }
• θ={ π/4, 3π/4 , 5π/4 , 7π/4 }
• θ={ 0, π , 2π }
• θ={ π/3, 5π/3 }

Tags

CCSS.HSF.TF.B.7

Solve the following for 0≤ θ <2π.

sinθ= 1 ⁄ 2

• θ = π/4

• θ = π/6 , 5π/6

• θ = 7π/6, 11π/6

• θ = -π/6

Tags

CCSS.HSF.TF.B.7

Solve the following for 0°≤ θ <360°.

sinθ= √3 ⁄ 2

• θ = 60°

• θ = 30°

• θ = 60°, 120°

• θ = 120°, 240°

Tags

CCSS.HSF.TF.B.7

Solve the following for 0°≤ θ <360°.

sinθ= -1 ⁄ 2

• θ = 210°, 330°

• θ = 210°

• θ = 30°, 150°

• θ = 30°

Tags

CCSS.HSF.TF.B.7

Solve the following for 0°≤ θ< 360°.

tanθ = -√3

• θ = 60°, 240°

• θ = 225°

• θ = 120°, 300°

• θ = 60°, 30°

Tags

CCSS.HSF.TF.B.7

Simplify the trig expression.

• tan²x
• -tan²x
• cot²x
• cos²x*sin²x