Art of Problem Solving

User:5849206328x: Difference between revisions

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//real f(real x) { return abs(x); }
//real f(real x) { return abs(x); }


draw((3,1)--(0,0)--(1,2),Arrows); draw((3,-1)--(0,0)--(4,3),Arrows);
draw((0,0)--5*dir(30),EndArrow);
draw((1,2)--(4,3),dashed); draw((3,1)--(4,3),dashed);
draw(arc((0,0),1,0,30),EndArrow);


label("$z_1$",(3,1),E); label("$z_2$",(1,2),N); label("$z_1 + z_2$",(4,3),N); label("$\overline{z_1}$",(3,-1),E);
label("$z$",5*dir(30),N); label("$r$",3*dir(30),NW); label("$\theta$",dir(15),ENE);


//limits((-1,-4),(6,6),Crop);
//limits((-1,-4),(6,6),Crop);
</asy>
</asy>

Revision as of 18:20, 19 August 2015

[asy] size(288);  real e  = 2.718281828459045235360287471352662497757247093699959574966967627724076630353; real pi = 3.141592653589793238462643383279502884197169399375105820974944592307816406286;  xaxis("$a$",-2,5); yaxis("$bi$",-2,5);  //real f(real x) { return abs(x); }  draw((0,0)--5*dir(30),EndArrow); draw(arc((0,0),1,0,30),EndArrow);  label("$z$",5*dir(30),N); label("$r$",3*dir(30),NW); label("$\theta$",dir(15),ENE);  //limits((-1,-4),(6,6),Crop); [/asy]