If f(x)=sin2⁡x and the composite functions g(f(x))=|sin⁡x| then g(x) is equal to

We have,f(x)=sin2⁡x and g(f(x))=|sin⁡x|Now, g(f(x))=|sin⁡x|⇒g(f(x))=sin2⁡x⇒g(sin2⁡x)=sin2⁡x∴g(x)=x