complex numbers

[donys]

Can you help me with the following problems plz.

I have a course in telecommunications and i have to understand

complex numbers first.

 

I can't solve the following exercises:

1) Write in the form z=x+jy the complex number e^e^j

^=exp

 

2)how i can solve this equation |z+2|=|z-1| and what is the algebraical explanation (z=|z|e^jè|)

[Dave]

1 is fairly straightforward: just apply Euler's rule twice:

 

[math]e^{e^i} = e^{\cos(1) + i\sin(1)} = e^{\cos(1)}(\cos(\sin(1)) + i \sin(\sin(1)))[/math]

 

I'll have a think about 2.

[pulkit]

To solve 1, simply square the equation. Then apply |z|=z*conjugate(z)

 

Simplify and reduce to two scalar equations and solve for real and imaginary parts of the number

[Dave]

(I think you mean 2 )