The unit circle and trigonometric equations Problem set A Answers

(−7.25, −3.38)

\(\cos\theta=-\frac{15}{17}\)

1. (a) \(\sin\theta=-0.8\)
2. (b) \(\tan\theta=\frac43\)

1. (a) 156°
2. (b) 336°
3. (c) 5.48

1. (a) x = 46.1° or 133.9°
2. (b) x = 104.5° or 255.5°

x = 0.659 or 2.483

1. (a) 9.50 m
2. (b) t = 3.38 and t = 8.62
3. (c) 5.23 minutes

1. (a) (−4.99, 10.91)
2. (b) 2.12 seconds

1. (a) y = 0.8
2. (b) θ = 2.214
3. (c) \(\tan\theta=-\frac43\)

1. (a) \(\tan x=\frac{2}{3}\)
2. (b) x = 33.7° or 213.7°