Trigonometric Equations Quiz

Solve the equation: sin(x) = 0.5 for 0 ≤ x ≤ 2π

• x = π/2, 3π/2

• x = π/6, 5π/6

• x = 2π/3, 4π/3

• x = π/4, 3π/4

Tags

CCSS.HSF.TF.B.7

Find all solutions to the equation: cos(2x) = 0 for 0 ≤ x ≤ 2π

• x = π/2, 3π/2

• x = π/6, 5π/6

• x = π/4, 3π/4, 5π/4, 7π/4

• x = 2π/3, 4π/3

Tags

CCSS.HSF.TF.B.7

Determine the solutions to the equation: tan(x) = √3 for 0 ≤ x ≤ 2π

• x = 5π/3 + nπ

• x = π/3 + nπ

• x = 3π/2 + nπ

• x = 2π/3 + nπ

Tags

CCSS.HSF.TF.B.7

What are the solutions to the equation: 2sin(x) - 1 = 0 for 0 ≤ x ≤ 2π?

• x = π/4 and x = 3π/4

• x = π/6 and x = 5π/6

• x = π/3 and x = 2π/3

• x = π/2 and x = 3π/2

Tags

CCSS.HSF.TF.B.7

Use the double angle identity to solve the equation: sin(2x) = 1 for 0 ≤ x ≤ 2π

• x = π/4, 5π/4

• x = π/2, 3π/2

• x = 2π/3, 4π/3

• x = π/6, 7π/6

Tags

CCSS.HSF.TF.B.7

Apply the Pythagorean identity to solve the equation: cos^2(x) - sin^2(x) = 0 for 0 ≤ x ≤ 2π

• sin(x)

• tan(x)

• sec(x)

• 1

Tags

CCSS.HSF.TF.C.8

Solve the equation: sin(x)cos(x) = 0 for 0 ≤ x ≤ 2π

• x = 0, π, 2π

• x = π/2, 3π/2

• x = π/4, 3π/4

• x = π/6, 5π/6

Tags

CCSS.HSF.TF.B.7

Find the solutions to the equation: 2cos(x) - sin(2x) = 0 for 0 ≤ x ≤ 2π

• x = π/3, 2π/3, 4π/3

• x = 0, π, 2π

• x = π/2, 3π/2, 2π

• x = π/4, 3π/4, 5π/4

Tags

CCSS.HSF.TF.B.7

Determine the solutions to the equation: tan(x)sin(x) = 1 for 0 ≤ x ≤ 2π

• x = π/6 and x = 7π/6

• x = π/2 and x = 3π/2

• x = 2π/3 and x = 4π/3

• x = π/4 and x = 5π/4

Tags

CCSS.HSF.TF.B.7

What are the solutions to the equation: 3sin(x) + 4cos(x) = 0 for 0 ≤ x ≤ 2π

• x = π/2, 3π/2

• x = π/4, 5π/4

• x = 2π, 3π/2

• x = 0, π

Tags

CCSS.HSF.TF.B.7