SOLUTION: z1= 7(cos220°+ i sin220°) z2= 2(cos160°+i sin160°) Find the quotient z1/z2 for the complex numbers Thank you!

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Question 1133318: z1= 7(cos220°+ i sin220°)
z2= 2(cos160°+i sin160°)
Find the quotient z1/z2 for the complex numbers
Thank you!
Found 2 solutions by Alan3354, MathLover1:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
z1= 7(cos220°+ i sin220°)
z2= 2(cos160°+i sin160°)
Find the quotient z1/z2 for the complex numbers
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z1 = 7cis(220)
z2 = 2cis(160)
================
z1/z2 = (7/2)cis(220-160)
= 3.5cis(60)

Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
z%5B1%5D=+7%28cos%28220%29%2B+i+%2Asin%28220%29%29
z%5B2%5D=+2%28cos%28160%29%2Bi+%2Asin%28160%29%29
z%5B1%5D=+7%28-0.766044443+%2B+i%2A%28-0.6427876%29%29
z%5B2%5D=+2%28-0.93969262%2Bi%2A0.34202%29+
z%5B1%5D=+-5.362311+-4.499513%2Ai
z%5B2%5D=+-1.87939%2B0.68404%2Ai

the quotient z%5B1%5D%2Fz%5B2%5D+for the complex numbers:

z%5B1%5D%2Fz%5B2%5D+=%28-5.362311+-4.499513%2Ai%29%2F%28+-1.87939%2B0.68404%2Ai%29
z%5B1%5D%2Fz%5B2%5D+=%28-5.362311+-4.499513%2Ai%29%2F%28+-1.87939%2B0.68404%2Ai%29


z%5B1%5D%2Fz%5B2%5D+=%287.00003+%2B12.1244%2Ai%29%2F4.0000174937
z%5B1%5D%2Fz%5B2%5D+=7.00003%2F4.0000174937+%2B12.1244%2Ai%2F4.0000174937

z%5B1%5D%2Fz%5B2%5D+=1.75%2B3.03109%2Ai