Solutions for Angles
Solutions to Try Its
1.
2. [latex]\frac{3\pi }{2}[/latex]
3. −135°
4. [latex]\frac{7\pi }{10}[/latex]
5. [latex]\alpha =150^\circ [/latex]
6. [latex]\beta =60^\circ [/latex]
7. [latex]\frac{7\pi }{6}[/latex]
8. [latex]\frac{215\pi }{18}=37.525\text{ units}[/latex]
9. 1.88
10. [latex]\frac{-3\pi }{2}[/latex] rad/s
11. 1655 kilometers per hour
Solutions to Odd-Numbered Exercises
1.
3. Whether the angle is positive or negative determines the direction. A positive angle is drawn in the counterclockwise direction, and a negative angle is drawn in the clockwise direction.
5. Linear speed is a measurement found by calculating distance of an arc compared to time. Angular speed is a measurement found by calculating the angle of an arc compared to time.
7.
9.
11.
13.
15.
17. 240°
19. [latex]\frac{4\pi }{3}[/latex]
21. [latex]\frac{2\pi }{3}[/latex]
23. [latex]\frac{7\pi }{2}\approx 11.00{\text{ in}}^{2}[/latex]
25. [latex]\frac{81\pi }{20}\approx 12.72{\text{ cm}}^{2}[/latex]
27. 20°
29. 60°
31. −75°
33. [latex]\frac{\pi }{2}[/latex] radians
35. [latex]-3\pi [/latex] radians
37. [latex]\pi [/latex] radians
39. [latex]\frac{5\pi }{6}[/latex] radians
41. [latex]\frac{5.02\pi }{3}\approx 5.26[/latex] miles
43. [latex]\frac{25\pi }{9}\approx 8.73[/latex] centimeters
45. [latex]\frac{21\pi }{10}\approx 6.60[/latex] meters
47. 104.7198 cm2
49. 0.7697 in2
51. 250°
53. 320°
55. [latex]\frac{4\pi }{3}[/latex]
57. [latex]\frac{8\pi }{9}[/latex]
59. 1320 rad 210.085 RPM
61. 7 in./s, 4.77 RPM, 28.65 deg/s
63. [latex]1,809,557.37\text{ mm/min}=30.16\text{ m/s}[/latex]
65. [latex]5.76[/latex] miles
67. [latex]120^\circ [/latex]
69. 794 miles per hour
71. 2,234 miles per hour
73. 11.5 inchesLicenses & Attributions
CC licensed content, Specific attribution
- Precalculus. Provided by: OpenStax Authored by: OpenStax College. Located at: https://cnx.org/contents/[email protected]:1/Preface. License: CC BY: Attribution.
