A-level · Trigonometry

Radian measureExam-style questions

What a radian is, converting between degrees and radians, the exact values at the special angles in radians, and solving trigonometric equations over an interval given in radians.

Start practising Read the lesson

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

DifficultyAllLevel 2Level 3
  1. 1
    (a) Express 150∘150^\circ and 225∘225^\circ in radians, giving each answer as an exact multiple of π\pi.
    (b) Express 7π12\frac{7\pi}{12} radians in degrees.
    Level 2 · 3 marksTry it
  2. 2
    Solve 2cos⁡x=32\cos x = \sqrt{3} for 0≤x≤2π0 \le x \le 2\pi, giving your answers as exact multiples of π\pi.
    Level 2 · 3 marksTry it
  3. 3
    Without using a calculator, find the exact value of (a) cos⁡5π6\cos\frac{5\pi}{6},
    (b) sin⁡3π4\sin\frac{3\pi}{4},
    (c) tan⁡7π6\tan\frac{7\pi}{6}.
    Level 2 · 3 marksTry it