Find real `theta` such that `(3+2i\ s intheta)/(1-2i\ s intheta)` is purely real.

(i)If z is a complex no.such that |z|=1; prove that (z-1)/(z+1) is purely imaginary.what will be the conclusion if z=1 (ii) Find real theta such that (3+2i sin theta)/(1-2i sin theta) is purely real

Find real theta such that (3+2is int h eta)/(1-2is int h eta) is purely real.

Find real theta such that (3+2i sin theta)/(1-2i sin theta) is purely real.

Find real theta in (-pi,pi) so that (3+2isintheta)/(1-2isintheta) is purely real .

Find the theta such that (3+2i sin theta)/(1-2 isin theta) is (a) real (b) purely imaginary

Find real theta varepsilon (-pi,pi) so that (3+2isintheta)/(1-2isintheta) is purely imaginary .

(5 + i sin theta)/(5-3i sin theta) is a real number when

Find the real values of theta for which the complex number (1+i cos theta)/(1-2i cos theta) is purely real.

Find all values of theta for which (1-isintheta)/(1+icostheta) is purely real.