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

Radians and degrees Problem set B Answers

Skills

  1. 4π/3 = 240°; 7π/6 = 210°; π/3 = 60°; 300° = 5π/3; 135° = 3π/4; 315° = 7π/4

    1. (a) \(-\frac{7\pi}{6}\)
    2. (b) \(\frac{8\pi}{3}\)
    3. (c) \(-\frac{11\pi}{4}\)
    4. (d) \(\frac{40\pi}{9}\)
    1. (a) \(54^\circ\)
    2. (b) \(-495^\circ\)
    3. (c) \(510^\circ\)
    4. (d) \(-435^\circ\)
    1. (a) \(0.960\) rad
    2. (b) \(195^\circ\)
    3. (c) \(−143^\circ\)

In context

    1. (a) \(\frac{11\pi}{2}\) radians
    2. (b) 2.75 turns
    1. (a) 4.25 radians
    2. (b) \(244^\circ\)
    1. (a) \(210^\circ\)
    2. (b) \(\frac{7\pi}{6}\)

Stretch

  1. \(\frac{7\pi}{6}\), 215°, 3.8 radians (smallest to largest)

    1. (a) \(−745^\circ\)
    2. (b) 2 full turns clockwise

jmaths.xyz · AI HL · 12.10.10 Radians and degrees