Trigonometric Equations

Math ⇒ Trigonometry

Trigonometric Equations starts at 11 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Trigonometric Equations. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 12

Find all solutions to the equation sin(2x) = 0 in the interval [0, 2π).

If cos(2x) = 1/2, what are the solutions for x in [0, 2π)?

If cos(x) = cos(β), what is the general solution for x?

If sin(x) = sin(α), what is the general solution for x?

If tan(x) = tan(γ), what is the general solution for x?

Solve the equation 2cos²(x) - 1 = 0 for x in [0, 2π).

Solve the equation 2cos(x) + 1 = 0 for x in [0, 2π).

Solve the equation 2sin²(x) - 1 = 0 for x in [0, 2π).

Solve the equation 2sin(x) - 1 = 0 for x in [0, 2π).

Solve the equation sin(3x) = 0 for x in [0, 2π).

Solve the equation sin(x) = 1/2 for all solutions in the interval 0 ≤ x < 2π.

Solve the equation sin(x) = -1/2 for x in [0, 2π).

Solve the equation tan(2x) = 0 for x in [0, 2π).

Find the general solution to the equation cos(2x) + sin(x) = 0.

Given the equation tan(x) + tan(2x) = 0, find all solutions for x in [0, 2π).

If cos(x) = sin(x), what is the general solution for x?

If sin(x) + sin(2x) = 0, what are all solutions for x in the interval [0, 2π)?

Solve the equation 2cos²(x) - 3cos(x) + 1 = 0 for x in [0, 2π).

Solve the equation 2sin²(x) + 3sin(x) - 2 = 0 for all x in [0, 2π).