Technical Mathematics, Sixth Edition

D.7. CHAPTER 7

Exercise 1

1. (a) sin θ = 0.6325 cos θ = 0.7750 tan θ = 0.8162 (b) sin θ = 0.5607 cos θ = 0.8295 tan θ = 0.6759 (c) sin θ = 0.5321 cos θ = 0.8486 tan θ = 0.6270 (d) sin θ = 0.5109 cos θ = 0.8607 tan θ = 0.5937

3.

	sin	cos	tan
(a)	0.7581	0.6521	1.1626
(b)	0.6280	0.7782	0.8069
(c)	0.3140	0.9494	0.3307
(d)	0.0361	0.9993	0.0361
(e)	0.9966	0.0819	12.1632
(f)	0.4802	0.8771	0.5475
(g)	0.9598	0.2807	3.4197
(h)	0.6934	0.7206	0.9623
(i)	0.0583	0.9983	0.0584
(j)	0.8525	0.5226	1.6312
(k)	0.9795	0.2016	4.8587
(l)	0.3754	0.9269	0.4050
(m)	0.9940	0.1094	9.0821
(n)	0.9798	0.2002	4.8933
(o)	0.5561	0.8311	0.6690
(p)	0.8948	0.4465	2.0042

5. 56.8°

7. 39.6°

9. 32.1°

11. 30.5°

13. 10.1°

15. 76.8°

17. 36.9°

19. 31.3°

Exercise 2

1. B = 47.1°; b = 167; c = 228

3. b = 1.08; A = 58.1°; c = 2.05

5. b = 25.3°; b = 134; c = 314

7. A = 6.44; c = 11.3; A = 34.8°

9. A = 50.3; c = 96.5; b = 58.6°

11. c = 470; A = 54.3°; b = 35.7°

13. A = 2.80; A = 35.2°; b = 54.8°

15. b = 25.6; A = 46.9°; b = 43.1°

17. b = 48.5; A = 40.4°; b = 49.6°

19. A = 414; A = 61.2°; b = 28.8°

Exercise 3

1. 402 m

3. 285 ft

5. 64.9 m

7. 39.9 yd

9. 128 m

11. 21.4 km; 14.7 km

13. 432 mi; S 58°31′ W

15. 156 mi north; 162 mi east

17. 30.2°; 20.5 ft

19. 37.6°

21. A = 52.4°, B = 37.6°; AB = 1.23 m; Area = 0.366 m²

23. 35.3°

25. 19.5°

27. 122,000 square units

29. 355 in.

31. 77.5 mm; 134 mm; 134 mm; 77.5 mm

33. 1.550 in.

35. 5.53 in.

37. 0.866 cm; 0.433 cm

39. a. 2.160 in. b. 18.10° c. 26.30°

Exercise 4

	r	sin	cos	tan	θ
1.	5.32	0.906	0.423	2.14	65.0°
3.	6.63	0.828	0.561	1.48	55.9°
5.	5.20	0.929	0.371	2.50	68.2°

Exercise 5

1. 3.28; 3.68

3. 0.9917; 1.602

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