Question

multiplicative inverse of complex number -2 -3​

Answer 1

Answer:

If z is a non-zero complex number and z=x+yi, the (multiplicative) inverse of z, denoted by z −1 or 1/z, is When z is written in polar form, so that z=reiθ=r (cos θ+i sin θ), where r ≠ 0, the inverse of z is (1/r)e −iθ=(1/r)(cos θ−i sin θ).