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IB Mathematics: Applications and Interpretation HL · 12.10: Geometry & Trigonometry · 12.10.10

Radians and degrees Problem set A Answers

Skills

  1. 5π/4 = 225°; 11π/6 = 330°; 2π/3 = 120°; 150° = 5π/6; 210° = 7π/6; 315° = 7π/4

    1. (a) \(-\frac{5\pi}{6}\)
    2. (b) \(\frac{7\pi}{3}\)
    3. (c) \(-\frac{13\pi}{4}\)
    4. (d) \(\frac{50\pi}{9}\)
    1. (a) \(72^\circ\)
    2. (b) \(-315^\circ\)
    3. (c) \(780^\circ\)
    4. (d) \(-465^\circ\)
    1. (a) \(1.31\) rad
    2. (b) \(120^\circ\)
    3. (c) \(−229^\circ\)

In context

    1. (a) \(\frac{13\pi}{2}\) radians
    2. (b) 3.25 turns
    1. (a) 2.80 radians
    2. (b) \(160^\circ\)
    1. (a) \(150^\circ\)
    2. (b) \(\frac{5\pi}{6}\)

Stretch

  1. \(\frac{6\pi}{5}\), 220°, 3.9 radians (smallest to largest)

    1. (a) \(−430^\circ\)
    2. (b) 1 full turn clockwise

jmaths.xyz · AI HL · 12.10.10 Radians and degrees