Additional Topics in Trigonometry
Answers to Review Problems

Questions

1.  Polar Form:  2 (cos 11p/6  +  i sin 11p/6)
                                      Imaginary
                                         |
                                         |   1
     Graph:              --------|--|--|--|------ Reals     Corresponds to (\/3, -1) on the x-y axis
                                    -1 |     .
                                         |
                                         |

2.  \/3 + i

3.  a.  15 cis 120o
     b.  (3/5) cis 280o

4.  4 + 4\/3 i

5.  -4 - 4i

6.  3\/2 cis 40o
     3\/2 cis 160o
     3\/2 cis 280o

7.  <5,4>

8.  a.  v + w = 5i - j
     b.  v - w = -1 + 7j
     c.  6i + 9j
     d.  -5i + 18j
     e.  \/13
     f.  -6

9.  (4/5)i - (3/5)j

10.  447 mph  @ -82.73o or its equivalent

11.  105o

12.  parallel

13.  orthogonal

14.  2500\/3  foot-pounds

15.  7484.8 pounds

16.  1, i, -1/2 + \/3 /2  i,   -1/2 - \/3 /2  i,  -i

17.  ip + 4.990

18.  6 e ip/3  

Questions

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