Express the indicated roots of unity in standard form a + bi.Tenth roots of unity
A. 1 + 0i
cos 
+ i sin 
? 0.95 + 0.31 i
cos 
+ i sin 
? 0.81 + 0.59 i
cos 
+ i sin 
? 0.59 + 0.81 i
cos 
+ i sin 
? 0.31 + 0.95 i
cos 
+ i sin 
= 0 + i
cos 
+ i sin 
? - 0.31 + 0.95 i
cos 
+ i sin 
? - 0.59 + 0.81 i
cos 
+ i sin 
? - 0.81 + 0.59 i
cos 
+ i sin 
? - 0.95 + 0.31 i
B. 1 + 0i
cos 
+ i sin 
? 0.81 + 0.59 i
cos 
+ i sin 
? 0.31 + 0.95 i
cos 
+ i sin 
? - 0.31 + 0.95 i
cos 
+ i sin 
? - 0.81 + 0.59 i
cos ? + i sin ? = -1 + 0i
cos 
+ i sin 
? - 0.81 - 0.59 i
cos 
+ i sin 
? - 0.31 - 0.95 i
cos 
+ i sin 
? 0.31 - 0.95 i
0 - i
C. 1 + 0i
cos 
+ i sin 
? 0.81 + 0.59 i
cos 
+ i sin 
? 0.31 + 0.95 i
cos 
+ i sin 
? - 0.31 + 0.95 i
cos 
+ i sin 
? - 0.81 + 0.59 i
cos ? + i sin ? = -1 + 0i
cos 
+ i sin 
? - 0.81 - 0.59 i
cos 
+ i sin 
? - 0.31 - 0.95 i
cos 
+ i sin 
? 0.31 - 0.95 i
cos 
+ i sin 
? 0.81 - 0.59 i
D. 1 + 0i
cos 
+ i sin 
? 0.81 + 0.59 i
cos 
+ i sin 
? 0.31 + 0.95 i
0 + i
cos 
+ i sin 
? - 0.81 + 0.59 i
cos ? + i sin ? = -1 + 0i
cos 
+ i sin 
? - 0.81 - 0.59 i
cos 
+ i sin 
? - 0.31 - 0.95 i
cos 
+ i sin 
? 0.31 - 0.95 i
0 - i
Answer: C
You might also like to view...
Solve the problem.Two forces, of 67.5 N and 47.2 N, forming an angle of 122.6°, act at the origin. Find the magnitude of the resultant force.
A. 114.7 lb B. 101.1 lb C. 57.9 lb D. 2700 lb
Rewrite the rational expression as an equivalent rational expression with the given denominator.
= 
A. 
B. 
C. 
D. 
Solve the variation problem.The distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped. An object falls 128 feet in 2 seconds. Find the distance the object falls in 
A. 6 feet B. 288 feet C. 96 feet D. 192 feet
Solve the problem.An airline with two types of airplanes, P1 and P2, has contracted with a tour group to provide transportation for a minimum of 400 first class, 750 tourist class, and 1500 economy class passengers. For a certain trip, airplane P1 costs $10,000 to operate and can accommodate 20 first class, 50 tourist class, and 110 economy class passengers. Airplane P2 costs $8500 to operate and can accommodate 18 first class, 30 tourist class, and 44 economy class passengers. How many of each type of airplane should be used in order to minimize the operating cost?
A. 11 P1 planes and 7 P2 planes
B. 5 P1 planes and 17 P2 planes
C.
| 9 P1 planes and 13 P2 planes |
D. 7 P1 planes and 11 P2 planes