A quick question

[TrueTears]

How do you sketch

So normally for these questions I just apply transformations.

First let



So it's the ray that makes an angle of radians with horizontal then shifted 2 to the left in the real axis and then rotated 90 degrees clockwise. However that's wrong... how does it actually look like?

[mano91]

does the solution look like the line y= x/sqrt(3)  +2 ?

[TrueTears]

does the solution look like the line y= x/sqrt(3)  +2 ?

I never use and change into cartesian simply because doesn't work all the time, I've always applied transformations like this and never failed me, I don't know why this one it doesn't work.

[TrueTears]

Btw I know you can split up the into

But I want a way where you don't have to split it up.

[NE2000]

Maybe translation ought to be which comes out to be so you shift it up 2 and then you do the rotation.

[TrueTears]

Thanks, I realised the question actually asked for something different lol.

Another Q is sketching even possible?

[/0]

it's impossible

[TrueTears]

it's impossible

Yeah I asked kamil, says you need taylor series. GG

[/0]

Arg(z) is real though, so it won't be able to cancel out the , leaving the left side complex with an imaginary part and the right side real.

[addikaye03]

How do you sketch

So normally for these questions I just apply transformations.

First let



So it's the ray that makes an angle of radians with horizontal then shifted 2 to the left in the real axis and then rotated 90 degrees clockwise. However that's wrong... how does it actually look like?

arg(iz+2)=2pi/3

let z=x+iy

arg(i(x+iy)+2)=2pi/3

pi/2+arg[x+2+i(y)]=2pi/3

arg[(x+2)+iy]=pi/6

so now sketch from (-2,0) ray at angle pi/6 (@)

The equation of the line would just be y=arctan(@)x-2

(rt3)y=x-2(rt3)

I know this Q has been answered kinda but would that be right?