Question

write the multiplicative inverse... ​

Answer 1

To Multiplicative inverse

of any complex number we just have to do reciprocal of that but remember that after reciprocal we should convert that number in the general form of any complex number (as multiplicative inverse of a complex number is also complex number) that is

a+ib.

Now :-

In the given question we have to calculate the multiplicative inverse of

$\frac{ \sqrt{3} }{2} - \frac{1}{2} \iota$

which can be written as

$\frac{ \sqrt{3} - \iota}{2}$

Now we can find its multiplicative inverse as shown in attachment.