MAT 182 – Homework 2
Sections 1.3 and 1.4
Directions: Show all work and write your final answer in the space provided.
1. Convert 60 rev/sec to rad/sec. (Nearest tenth)
2.
Find the exact value of sin α for the point (–1, –2).
NAME _______________
1. _______________
2. _______________
3. Find cos(–π/2). 3. _______________
4. A windmill for generating electricity has a blade that is 30 feet long and is spinning 4. _______________ at 11000 rev/hr. Find the angular velocity in rad/sec for the tip of the blade.
(Nearest tenth)
5. Find sin(3π/4).
6. Find sec(–5π/6).
5. _______________
6. _______________
7.
Find cos(135°).
7. _______________
8. Convert 3000 rad/hr to rev/sec. (Nearest tenth)
9.
Find tan(270°).
8. _______________
9. _______________
10. A Ferris wheel has a diameter of 250 ft and takes 30 min to make one revolution. 10. _______________
Find the linear velocity in ft/sec for a person riding the Ferris wheel. (Nearest tenth)
11. _______________ 11. Find the exact value of cos α for the point (2, –2).
12. Find csc(–420°).
13. An electric motor is spinning at 3450 rev/min. Find the linear velocity in mi/hr
12. _______________
13. _______________ for a point on the ede of the blade with a radius of 8 in. (Nearest tenth)
14. Find cot(–7π/3).
15. Find csc(5π/2).
16. Find sin(π/6) + cos(π/3).
17. Find tan(5π/4).
18. Convert 150 ft/sec to mi/hr. (Nearest tenth)
14. _______________
15. _______________
16. _______________
17. _______________
18. _______________

19. Find sin(30°)cos(135°) + cos(30°)sin(135°).
20. Use a calculator to find cos(344.1°) to four decimal places.
21. What is the linear velocity in mi/hr of the tip of a lawnmower blade spinning at
2800 rev/min for a lawnmower that cuts a 20-in.-wide path? (Nearest tenth)
22. Find csc(–7π/6).
23. An electric motor is spinning at 4200 rev/min. Find the linear velocity in mi/hr for a point on the ede of the blade with a radius of 12 in. (Nearest tenth)
19. _______________
20. _______________
21. _______________
22. _______________
23. _______________
24. Use a calculator to find csc(49°13′) to four decimal places.
25. Find csc(–π/4).
24. _______________
25. _______________
26. Find the linear velocity in in/min for a point on the edge of a 12-in.-diameter record 26. _______________ spinning at 45 rev/min. (Nearest tenth)
27. Use a calculator to find sec(–9°4′7″) to four decimal places. 27. _______________
28. Find sin(60°).
29. Find sin(2α) if α = π/8.
30. A router bit makes 45000 rev/min. What is the linear velocity in mi/hr of the
28. _______________
29. _______________
30. _______________ outside edge of a bit that cuts a 1-in.-wide path? (Nearest tenth)
31. Find cos(–120°). 31. _______________
32. Use a calculator to find 2sin(3)cos(3) to four decimal places.
33. Find tan(2π/3).
32. _______________
33. _______________
34. The blade on a table saw rotates at 3450 rev/min. How much faster in ft/sec does a 34. _______________
12-in.-diameter blade strike a piece of wood than a 10-in.-diameter blade?
(Nearest tenth)
35. Find cos(α/2) if α = 2π/3. 35. _______________