Question

Which double-angle or half-angle identity would you use to verify that sin2x/2sin^2x=cotx

Answer 1

Answer:

[D]  sin 2x = 2 sin x cos x

Answer 2

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