 Hello friends. Let's solve the following question. It says convert each of the complex number given in exercises 3 to 8 in the polar form. So we have to convert this number into polar form. So let us first write the basic idea to solve this question. If we have a complex number z equal to x plus iota y, then the polar form of z is given by r into cos theta plus iota sin theta. So to convert a complex number into the polar form, we need to obtain r and theta and r is given by root of x square plus y square and theta is called the argument of z. So this becomes the key idea to solve this problem. Let's proceed on to the solution. z is equal to minus 3. Now this can be written as minus 3 plus 0 iota. So this implies x is equal to minus 3. That is the real part is minus 3 and the imaginary part is 0. So r is equal to root of minus 3 square plus 0 square and again this is equal to root 9 which is equal to 3. So r is 3. So this is the argon plane and we have to plot the point x is equal to minus 3 and y is equal to 0. So this point would be here and we have to obtain the value of theta. Now z is equal to minus root 3 plus 0 iota and in the polar form it is given by 3 cos theta plus iota 3 sin theta. Now on comparing, now z in polar form is given by this. So z is equal to 3 into cos theta plus iota sin theta. But we still need to obtain the value of theta. So for that let us first plot the point x is equal to minus 3 and y is equal to 0 on the argon plane. So this is the argon plane and we have to plot the point x is equal to minus 3 and y is equal to 0. So it would be here and we have to obtain the value of theta. Now z in the polar form is given by this and z is equal to minus 3 plus iota 0. Now on comparing we get minus 3 is equal to 3 cos theta and 0 is equal to 3 sin theta. First equation implies cos theta is equal to minus 1 and second equation implies sin theta is equal to 0. Now we know that cos of pi is minus 1 and sin pi is 0 and we can see that this angle is pi. So this implies theta is pi and the value of r was 3. Hence z in polar form is given by 3 cos pi plus iota sin pi. And this completes the question. Bye for now. Take care. Hope you enjoyed the session.