Test: Complex Numbers II - Ambitious

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Question 1:   If ( x+y )+( xy )=5+3i , find x and y
x=2,y=0
x=5,y=3
x=3,y=2
x=4,y=1
Question 2:   Express z=6+8i in the polar form
z=10( sin53.13°+icos53.13° )
z=10( cos53.13°+isin53.13° )
z=10( cos36.87°+isin36.87° )
z=14( cos36.87°+isin36.87° )
Question 3:   Express z=4+3i in the shortened polar form
z=5 53.13°
z=7 36.87°
z=5 36.87°
z=4 36.87°
Question 4:   Express z=45i in the shortened polar form
z=6 231.34°
z= 41 231.34°
z=9 51.34°
z= 41 51.34°
Question 5:   Express 3( cos15°+isin15° ) in the form a+ib
1.4572.721i
3+i
2.898+0.777i
0.551+0.289i
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