A-level · Trigonometry

Solving trigonometric equationsExam-style questions

The full method for solving trig equations in a range — quadratics in sin/cos, using sin²+cos²≡1 to convert a mixed equation, and transformed arguments like sin 2x and cos(x − 30°) where the interval must change.

Start practising Read the lesson

13 questions · A-level level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    Solve the equation

    tan⁡2x=3\tan^2 x = 3

    for 0°<x<360°0° < x < 360°

    (3 marks)
    Level 2 · 3 marksTry it