Trigonometric Equations Quiz

Solve for x: sin(x) = 0.5

• x = π/4 + 2πn or x = 3π/4 + 2πn

• x = 2π/3 + 2πn or x = 4π/3 + 2πn

• x = π/2 + 2πn or x = 3π/2 + 2πn

• x = π/6 + 2πn or x = 5π/6 + 2πn

Find the solution set for x: cos(x) = -0.8

• x = 1.5 + 2πn or x = 4.2 + 2πn

• x = 0.3 + 2πn or x = 3.9 + 2πn

• x = 2.4981 + 2πn or x = 3.7843 + 2πn

• x = 2.0 + 2πn or x = 3.5 + 2πn

Determine the values of x that satisfy the equation: tan(x) = 1

• x = 3π/4 + nπ

• x = π/2 + nπ

• x = 2π + nπ

• x = π/4 + nπ

Solve for x: sec(x) = 2

• x = π/6 + 2nπ or x = 5π/6 + 2nπ

• x = π/3 + 2nπ or x = 5π/3 + 2nπ

• x = π/2 + 2nπ or x = 3π/2 + 2nπ

• x = π/4 + 2nπ or x = 3π/4 + 2nπ

Find the solution set for x: csc(x) = -1

• x = -π/4 + 2nπ

• x = π/2 + 2nπ

• x = 3π/2 + 2nπ

• x = -π/2 + 2nπ

Determine the values of x that satisfy the equation: sin(2x) = 0.5

• x = 15 degrees + 180n degrees or π/12 + πn radians, where n is an integer

• x = 60 degrees + 180n degrees or π/3 + πn radians, where n is an integer

• x = 45 degrees + 180n degrees or π/4 + πn radians, where n is an integer

• x = 30 degrees + 180n degrees or π/6 + πn radians, where n is an integer

Solve for x: 2cos(x) = √3

• x = π/6 + 2nπ or x = 11π/6 + 2nπ

• x = π/3 + 2nπ or x = 5π/3 + 2nπ

• x = π/4 + 2nπ or x = 7π/4 + 2nπ

• x = 2π/3 + 2nπ or x = 4π/3 + 2nπ

Find the solution set for x: 3tan(x) = -3

• x = -π/6 + nπ, where n is an integer

• x = -π/3 + nπ, where n is an integer

• x = -π/2 + nπ, where n is an integer

• x = -π/4 + nπ, where n is an integer

Determine the values of x that satisfy the equation: 2sin(x) = 1

• x = π/6 + 2πn or x = 5π/6 + 2πn

• x = π/4 + 2πn or x = 3π/4 + 2πn

• x = π/2 + 2πn or x = 3π/2 + 2πn

• x = π/3 + 2πn or x = 2π/3 + 2πn

Solve for x: 4csc(x) = 2

• x = 90 degrees or x = π/2 radians

• x = 45 degrees or x = π/4 radians

• x = 60 degrees or x = π/3 radians

• x = 30 degrees or x = π/6 radians