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" 3.Find real "theta," if "(3+2i sin the...

" 3.Find real "theta," if "(3+2i sin theta)/(1-2i sin theta)" is purely real "

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

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