math homework.
chrispomFall 2016 MATH 108 Quiz 3 Show all work! No credit for answers without work shown.
1. 5 pts. Solve, finding all exact solutions in [0, 2π).
4cos2x sinx + 4sin2x - 5sinx = 0
2. 5 pts. Solve, finding all solutions in [0°, 360°). Use a calculator to find all solutions to the nearest tenth of a degree.
2sec2x + secx = 3
3. 5 pts. Solve the triangle(s), if possible. Answers should be accurate to the nearest tenth of a degree. Side a = 30, side b = 22, side c =10
4. 5 pts. Solve the triangle(s), if possible. Answers should be accurate to the nearest hundredth. α = 20.4° a = 18 (Side a is opposite angle α.) b = 27
For problems 5 and 6, use the bearings described on page 905 of the College Trigonometry textbook.
5. 5 pts. Location A is 5 miles due south of Location B. The bearing of a fire from A is S41°W and the bearing of the same fire from B is S29°W. Find the distance from the fire to Location B to the nearest hundredth of a mile. (Drawing the diagram before you attempt the math can be very helpful.)
6. 5 pts. Two people leave from the same point at the same time. The first travels in a straight line N68°E at 39 miles per hour and the second goes in a straight line S18°W at 30 miles per hour. After 1 hour, how far apart are the people, to the nearest tenth of a mile?