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