5.3 Practice

Solve the equation 1 + 4tan(θ) = -3 for 0 ≤ θ < 2π.

• θ = 11π/7

• θ = 7π/4

• θ = 4

• θ = 3π/4

Tags

CCSS.HSF.TF.B.7

Solve the equation 2 + 8sin(θ) = 6 for 0 ≤ θ < 2π.

• θ = 3π/5

• θ = 7π/11

• θ = 6

• θ = 4

Tags

CCSS.HSF.TF.B.7

Solve the equation -2 + 8sin(θ) = 5 for 0 ≤ θ < 2π.

• θ = 11π/7

• θ = 3π/7

• θ = 6

• θ = 4

Tags

CCSS.HSF.TF.B.7

Solve the equation tan²(θ) + 5 = 4sec(θ) for 0 ≤ θ < 2π.

• θ = 0, π/6

• θ = 5π/4, 6π/3

• θ = 3π/6, 6π/6

• θ = 2π/5, 4π/5

Tags

CCSS.HSF.TF.B.7

Solve the equation -2 = cos(θ) - sin(θ) - 3 for 0 ≤ θ < 2π.

• θ = 3π/3, 6π/3

• θ = 3π/4, 3π/2

• θ = π/3, 4π/3

• θ = 2π/3, 5π/3

Tags

CCSS.HSF.TF.B.7

Solve the equation 3 + 5cos(θ) = 1 for 0 ≤ θ < 2π.

• θ = 5π/7

• θ = 7π/5

• θ = 5

• θ = 2π/7

Tags

CCSS.HSF.TF.B.7

Solve the equation 4sin²(θ) + 2 = 3sec(θ) for 0 ≤ θ < 2π.

• θ = 0, π/4

• θ = 5π/6, 6π/3

• θ = 3π/4, 6π/4

• θ = 2π/6, 4π/6

Tags

CCSS.HSF.TF.B.7

Solve the equation -1 = cos(θ) + sin(θ) - 2 for 0 ≤ θ < 2π.

• θ = 3π/2, 6π/2

• θ = 3π/5, 3π/1

• θ = π/2, 4π/2

• θ = 2π/2, 5π/2

Tags

CCSS.HSF.TF.B.7

Solve the equation 3sin(θ) + 2 = 4 for 0 ≤ θ < 2π.

• θ = 2π/3

• θ = 5π/7

• θ = 3π/7

• θ = π/2

Tags

CCSS.HSF.TF.B.7

Solve the equation 2cos(θ) - 1 = 3 for 0 ≤ θ < 2π.

• θ = π/3

• θ = 2π/3

• θ = 3π/2

• θ = 4π/3

Tags

CCSS.HSF.TF.B.7