SOLUTION: Let z = 12 (cos 7π/6 + i sin 7π/6) and w = 6 (cos π/3 + i sin π/3). Write the rectangular form of zw. A. 72 + 72i B. -72i C. -18

SOLUTION: Let z = 12 (cos 7π/6 + i sin 7π/6) and w = 6 (cos π/3 + i sin π/3). Write the rectangular form of zw. A. 72 + 72i B. -72i C. -18 - 18√3 i D. 18 + 18

Question 1032622: Let z = 12 (cos 7π/6 + i sin 7π/6) and w = 6 (cos π/3 + i sin π/3). Write the rectangular form of zw.
A. 72 + 72i
B. -72i
C. -18 - 18√3 i
D. 18 + 18√3 i
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Let z = 12 (cos 7π/6 + i sin 7π/6) and w = 6 (cos π/3 + i sin π/3). Write the rectangular form of zw.
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Let z = 12cis(7pi/6) and w = 6cis(pi/3). Write the rectangular form of zw.
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zw = 12*6cis(7pi/6 + pi/3) = 72cis(3pi/2) = 72*cos(3pi/2) = 72i*sin(3pi/2)
= -72i
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SOLUTION: Let z = 12 (cos 7&#960;/6 + i sin 7&#960;/6) and w = 6 (cos &#960;/3 + i sin &#960;/3). Write the rectangular form of zw. A. 72 + 72i B. -72i C. -18 - 18&#8730;3 i D. 18 + 18

SOLUTION: Let z = 12 (cos 7π/6 + i sin 7π/6) and w = 6 (cos π/3 + i sin π/3). Write the rectangular form of zw. A. 72 + 72i B. -72i C. -18 - 18√3 i D. 18 + 18