Question

give me a answer please fast

Answer 1

Here |z| =2.
Let it be r →|z|=r=2.

Now Arg(z)=π/4=45°

But arg(z) is the angle Theta.

Let this be x.
→Arg(z)=x=45°


z=r[cos(x) + i sin(x)]

→z=2[cos45° + i sin45°]
→z=2[1/√2 +i × 1/√2]
→z= 2/√2 + i/√2


So Here Re(z)=2/√2 and Im(z)=1/√2


Hope it Helps...
Regards,
Leukonov.