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.

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

DifficultyAllLevel 2Level 3
  1. 1
    Solve 2 sin⁡x+1=0\sqrt{2}\,\sin x + 1 = 0 for 0≤x≤2π0 \le x \le 2\pi, giving your answers as exact multiples of π\pi.
    Level 3 · 3 marksTry it
  2. 2
    Solve cos⁡2x=−12\cos 2x = -\frac{1}{2} for 0≤x≤2π0 \le x \le 2\pi, giving your answers as exact multiples of π\pi.
    Level 3 · 4 marksTry it
  3. 3
    Solve tan⁡x=−1\tan x = -1 for 0≤x≤2π0 \le x \le 2\pi, giving your answers as exact multiples of π\pi.
    Level 3 · 2 marksTry it
  4. 4
    Solve 2sin⁡2x=sin⁡x2\sin^2 x = \sin x for 0≤x≤2π0 \le x \le 2\pi, giving your answers as exact multiples of π\pi.
    Level 3 · 3 marksTry it
  5. 5
    Solve sin⁡ ⁣(x−π6)=32\sin\!\left(x - \frac{\pi}{6}\right) = \frac{\sqrt{3}}{2} for 0≤x≤2π0 \le x \le 2\pi, giving your answers as exact multiples of π\pi.
    Level 3 · 3 marksTry it

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