Respuesta :

Answer:

Double-angle or half-angle identity used is

         sin2x= 2 sinx cosx

Step-by-step explanation:

We have to find [tex]\frac{sin2x}{2sin^2x}[/tex]

sin2x= 2 sinx cosx

Substituting

            [tex]\frac{sin2x}{2sin^2x}=\frac{2sinxcosx}{2sin^2x}=\frac{cosx}{sinx}=cotx[/tex]

Double-angle or half-angle identity used is

         sin2x= 2 sinx cosx

Answer:

[D]  sin 2x = 2 sin x cos x