Find real , such that , where ,…

MATHEMATICS · Multi-part · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Find real

\theta

, such that

\frac{3+2i \sin \theta}{1-2i \sin \theta}

, where

i = \sqrt{-1}

, is (i) purely real. (ii) purely imaginary.