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Verified Answer :

Answer:

Double-angle or half-angle identity used is

         sin2x= 2 sinx cosx

Step-by-step explanation:

We have to find \(\frac{sin2x}{2sin^2x}\)

sin2x= 2 sinx cosx

Substituting

            \(\frac{sin2x}{2sin^2x}=\frac{2sinxcosx}{2sin^2x}=\frac{cosx}{sinx}=cotx\)

Double-angle or half-angle identity used is

         sin2x= 2 sinx cosx

Answer:

[D]  sin 2x = 2 sin x cos x