1. `A=-1-i,B=-2+3i,C=1-3i`
Find expform(A)Solution:Here `A=-1-i,B=-2+3i,C=1-3i`
For a complex number `z=a+bi`, the exponential form `r*e^(i*theta)`
where `r=sqrt(a^2+b^2)` and `theta=atan(b/a)`
Here, `a=-1` and `b=-1`
`:. r=sqrt((-1)^2+(-1)^2)=sqrt(1+1)=sqrt(2)=1.4142`
`theta=atan(b/a)+180` (Since `a<0`)
`:. theta=atan((-1)/(-1))+180`
`:. theta=atan(1)+180`
`:. theta=45+180`
`:. theta=225 ^circ` or `theta=1.25pi` rad = 3.927 rad
The exponential form is `r*e^(i*theta)`
`=1.4142*e^(i(225))` (in degree)
`=1.4142*e^(i(1.25pi))` (in radian)
