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ranyai12
 2 years ago
Can someone please help me solve this problem!!
Find  z and Arg( z) for
z=3/(4+2i)
z=
Arg(z)=
(Recall −pi< Arg( z)<=pi )
ranyai12
 2 years ago
Can someone please help me solve this problem!! Find  z and Arg( z) for z=3/(4+2i) z= Arg(z)= (Recall −pi< Arg( z)<=pi )

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hellow
 2 years ago
Best ResponseYou've already chosen the best response.0mod(z) or z is the distance of the line joining the (0,0) to z when z is drawn in the complex plane. Arg(z) is the angle from the positive xaxis to the ray from (0,0) to z in the complex plane. (Arg(z) is the principle angle, so it must be in the range you specified.) So z=3/(4+2i) = 3/(4+2i)*(42i)/(42i) = 3(42i)/(20) = 3(2i)/10 = 3/5  i3/10 Thus z= sqrt[(3/5)^2 + (3/10)^2]. (You can simplify.) and Arg(z) =arctan[(3/10)/(3/5)] = pi/4
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