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IB Mathematics: Applications and Interpretation HL · 12.10: Geometry & Trigonometry · 12.10.11

The unit circle and trigonometric equations Problem set B Answers

Skills

  1. (4.18, −4.98)

  2. \(\sin\theta=-\frac{35}{37}\)

    1. (a) \(\cos\theta=-0.96\)
    2. (b) \(\tan\theta=\frac{7}{24}\)
    1. (a) 143°
    2. (b) 323°
    3. (c) 4.98
    1. (a) x = 27.4° or 152.6°
    2. (b) x = 128.3° or 231.7°
  3. x = 0.215 or 1.356

In context

    1. (a) 4.73 m
    2. (b) t = 3.95 and t = 8.45
    3. (c) 4.50 hours
    1. (a) (−12.62, 21.58)
    2. (b) 0.92 seconds

Stretch

    1. (a) y = −0.6
    2. (b) θ = 5.640
    3. (c) \(\tan\theta=-\frac34\)
    1. (a) \(\tan x=\frac{5}{2}\)
    2. (b) x = 68.2° or 248.2°

jmaths.xyz · AI HL · 12.10.11 The unit circle and trigonometric equations