Question

$\huge\red{solve\:please}$

Find sum of all possible values of theta (ø) in the interval ( -π/2 ,2π) for which


$3 + 2i \sin(theta) \div 1 - 2i \sin(theta)$
is purely imaginary

i) π/3

ii) π

iii) 2π/3

iv) π/2



Tell complete solution if anyone give answer as options only then i will report ❎❎❎❎

Thanks​

Answer 1

$\huge\red{solution}$

Find your answer in attachment

Your answer is option c

Thanks

Answer 2

HOLA MATE!!!

Refer to the attachment ^_^

Option C is the correct one