Non-Famous Solving Practice (from Worksheet)

1. Solve on [0, 2π]. Round all decimals to 3 decimal places.

2. 1. 2sin²x = 3 - sin x

• x = 0.785, 3.142

• x = 1.571, 4.712

• no solution

• x = π/2

Tags

CCSS.HSA.REI.C.7

CCSS.HSF.TF.B.7

Solve on [0, 2π]. Round all decimals to 3 decimal places.

2. 2. 4(sin θ + 1) = 6 - sin θ

• θ = 0.412, 2.730

• θ = 0.412

• θ = 0.412, 5.868

• θ = 2/5

Tags

CCSS.HSF.TF.B.7

Solve on [0, 2π]. Round all decimals to 3 decimal places.

3. 3. csc θ - 1 = 3 csc θ - 11

• θ = 0.201

• θ = 1/5

• θ = 0.201, 2.940

• θ = 0.201, 3.343

Tags

CCSS.HSA.REI.A.2

CCSS.HSF.TF.B.7

Solve on [0, 2π]. Round all decimals to 3 decimal places.
4. cot θ - 6 = 2 cot θ + 2

• θ = 3.017, 6.159

• θ = -1/8

• θ = 3.017

• θ = 3.107, -0.121

Tags

CCSS.HSF.TF.B.7

Solve on [0, 2π]. Round all decimals to 3 decimal places.
5. 5sin²x - 1 = 0

• x = 0.464

• x = 0.464, 2.678

• x = 0.464, 2.678, 3.605, 5.820

• no solution

Tags

CCSS.HSF.TF.A.1

CCSS.HSF.TF.A.2

CCSS.HSF.TF.B.7

Solve on [0, 2π]. Round all decimals to 3 decimal places.
6. 3cos²x - 8 cos x - 3 = 0

• x = 1.911, 4.373

• x = 1.911, 4.053

• x = -1/3

• x = 1.107, 5.176

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.TF.B.7

• x = 0.464

• x = 3.605

• x = 0.983

• x = 4.124

Tags

CCSS.HSA.REI.B.4

CCSS.HSF.TF.B.7

#8. Solve the equation from 0 to 2π

• x=2.237

• x = 4.046

• x = 1.618

• x = -0.618

• No Solution

Tags

CCSS.HSF.TF.B.7

#9. Solve the equation from 0 to 2π

• 0.340

• 2.802

• 0.730

• 2.412

• No solution

Tags

CCSS.HSF.TF.B.7

10. 10. Solve the equation for [0, 2π)

• 1.107

• 4.249

• 0.165

• 3.307

• no solution

Tags

CCSS.HSF.TF.B.7