22 38. Given 21 = 72 [cos (159) + i sin (15%)] and 22 = 8 [cos (5") + i sin (5*)], find Write your answer in polar form.

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22 38 Given 21 72 Cos 159 I Sin 15 And 22 8 Cos 5 I Sin 5 Find Write Your Answer In Polar Form 1 (53.12 KiB) Viewed 24 times

22 38. Given 21 = 72 [cos (159) + i sin (15%)] and 22 = 8 [cos (5") + i sin (5*)], find Write your answer in polar form. 9[cos(3) + i sin(3)] ® 900(15") sin(56) + i sin(15) cos(5)] ©9 [008(10%) + i sin(10)] 9[cos(3) - sin(3*)] 9[cos(20") + i sin(20) None of through ®. + 39. Use DeMoivre's Theorem to simplify (-1 - i)" 40. Find all the complex roots of w = 16 [cos($)+ i sin (47)); write your answers in rectangular form. 41. Solvex - 4 + 4iv3 = 0. Write your answers in polar form. 8[co8(100%) + i sin(100)] ® 2008 (300") + i sin(300)] 8 [008(220°) + i sin(220)] 8 [008(340") +isin(340)] + © 8 [008 (300) + i sin(300)] D 2 (cos(100%) + i sin(100)] 2 (cos(220°) + i sin(220")] 2 [cos(340") + sin(340)] 42. Solve - 81. 43. Use Polar Graph paper to graph r = 1 + 2 sin(0). 44. Let u - 2i + V2 and v = (1+2)i + (1-2). a) Find the exact value of ||1|| b) Find the exact value of lull. c) Find .. d) Find the angle between t and u. e) Find the unit vector in the direction of u. f) Find the projection of u onto v. g) Find 2u - 3v. 45. Which of the following expressions would be the correct form for the partial fraction decomposition of 7x* + 152-11 (1-6)(x+4) А B B + I-6 (x+4) 1-6 (2+4) (x+4)2 A BIC А B Dr + E D 1-6 (x + 4) 2-6 (+4) (x+4) А B:+CD+E None of through. 1-6 (+4) (x+4) 4-5 46. Complete the partial fraction decomposition of - 52 - 24 + + + +