21. Given a = 4, b = 14, and c = 12, solve the triangle. In the case that there is only one triangle which satsifies the given information leave the information for the second trangle (2) blank. 1: A = B= C = and a = 4, b = 14, c = 12. 2: A =_ B = C = and a = 4, b = 14, c = 12. 22. Given B = 45, a = 5, and c = 8, solve the triangle. In the case that there is only one triangle which satsifies the given information leave the information for the second trangle (2) blank. 1: A = B = 45, C = , and a = 5, b = C = 8. 42: A = B = 45, C = , and a = 5, b= C = 8. 23. Given C = 60, a = 2, and b = 5, solve the triangle. In the case that there is only one triangle which satsifies the given information leave the information for the second trangle (2) blank. 2 Created/Revised the Math Department Math 2412 - Final Exam Review Problems 1: A = B = C = 60, and a = 2, b = 5, c= 42: A =_ B = , C = 60, and a = 2, b =5, c= 24. Find the area of the triangle AABC having the following properties: B = 50, a = 5 ft, and c = 2 ft. 25. Given a = 400 ft and b = 300 ft and the measure of angle A is twice the measure of angle B, solve the triangle. In the case that there is only one triangle which satsifies the given information leave the information for the second trangle (2) blank. You may round the side to the nearest tenth of a foot and the angle to the nearest degree. 1: A= B= and a = 400, b = 300, c = 42: A =_ B = C = and a = 400, b = 300, c = 26. Find the polar coordinates of (-2V/3, 2). 27. Find the rectangular coordinates of (-3, l1x ). 28. Convert r = 14 to a polar equation that expresses r in terms of 0. Ar= 14 sin (0) B r= cos(0) Or2 = -14 D r2 = -14 sin (0) Er= COS cos (20) None of A through E. 29. Convert r = 16 sin(0) to a rectangular equation. A (x+8)2 + y2 = 64 B (x -8)2 + y2 = 64 12 + (y+ 8)2 = 64 D x2 + (y - 8)2 = 64 E (2+8)2 + y2 = 16 (x -8)2 +y2 = 16 Gr2 + (y+8)2 = 16 1 x2 + (y - 8)2 = 16 1 None of A through H. 30. Convert rsin(0) = 10 to a rectangular equation. 31. Convert r2 cos(20) = 1 to a rectangular equation. 32. Convert r2 = 7y to a polar equation that expresses r in terms of 0. 33. Convert rcos(0 + ) = 5 to a rectangular equation. 34. Determine whether r = 4 cos(0) is symmetric about the a) polar axis, b) the line 0 = 7, and/or c) about the pole. Place a check in the appropriate box. Yes No Symmtery Test Inconclusive a) polar axis b) 0 = c) pole 35. Write -1 - i in polar form (i.e., trigonometric form)