Solving Trigonometric Equations Quiz

Solve the equation -3 - sec θ = -9 + 2sec θ for all values of θ.

• (π/3±2πn , 5π/3±2πn )

• (5π/3±2πn )

• (π/3±2πn , 2π/3±2πn , 4π/3±2πn , 5π/3±2πn )

• (π/3±2πn )

Tags

CCSS.HSF.TF.B.7

Solve the equation 5 - 4sin θ = 11/2 -3sin θ for all values of θ.

• (π±2πn )

• (7π/6±2πn)

• (π±2πn , 7π/6±2πn)

• (7π/6±2πn, 11π/6±2πn)

Tags

CCSS.HSF.TF.B.7

Solve the equation 5 - cos 3θ = 3 - 5cos 3θ for 0 ≤ θ < 2π.

• (2π/9, 4π/9, 8π/9, 10π/9, 16π/9)

• (5π/24, 7π/24, 4π/9, 8π/9, 29π/24)

• (5π/24, 29π/24, 41π/24, 16π/9, 43π/24)

• (4π/9, 8π/9, 31π/24, 16π/9, 43π/24)

Tags

CCSS.HSF.TF.B.7

Solve the equation 5 - 2tan(θ + π/4) = 2 - 5tan(θ + π/4) for all values of θ. Round your answer to the nearest hundredth.

• (π/3, 2π/3, 4π/3, 3π/2)

• (π/2, 3π/2)

• (4π/3, 3π/2)

• (π/3, 2π/3)

Tags

CCSS.HSF.TF.B.7

Solve the equation: sin θ = √3cos θ + 2sin θ for 0 ≤ θ < 2π.

• π/3, 2π/3, 4π/3, 5π/3

• 2π/3, 4π/3

• 2π/3

• 5π/3

Tags

CCSS.HSF.TF.B.7

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

• π/6, 5π/6, 7π/6, 11π/6

• π/6, 5π/6

• 5π/6, 11π/6

• 0, π/6

Tags

CCSS.HSF.TF.B.7

Solve the equation: 3cos θ + 2 + cos² θ = sin² θ for 0 ≤ θ < 2π.

• π/6, 2π/6

• 2π/3, π, 4π/3

• 3π/4

• 2π/3, π

Tags

CCSS.HSF.TF.B.7

Solve the equation: 1 - 2tan² θ = tan² θ for 0 ≤ θ < 2π.

• π/6, 5π/6

• π/6, 5π/6, 7π/6, 11π/6

• π/6, 7π/6

• 5π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

Solve the equation: cos 2θ = 2 - 6sin² θ for 0 ≤ θ < 2π.

• π/3, π/2, 2π/3, 4π/3, 3π/2, 5π/3

• π/6, 2π/3, 7π/6, 5π/4, 11π/6

• 7π/6

• π/6, 5π/6, 7π/6, 11π/6

Tags

CCSS.HSF.TF.B.7

Solve the equation: 1 - 2cos² θ +2cos θ = -3cos² θ.

• 7π/6±2πn, 11π/6±2πn

• 2π/3±2πn, π±2πn

• π±2πn

• π/2±2πn, π±2πn, 11π/6±2πn

Tags

CCSS.HSF.TF.B.7