sinx(x/2)cos(x/2)*cos(x)

Question

sinx(x/2)cos(x/2)*cos(x)

Answer 1

=1/2*(2*sin(x/2)*cos(x/2))*cos(x)=1/2*sin(x)*cos(x)=1/4*(2*sin(x)*cos(x))=1/4*sin(2x)

Answer 2

sinx(x/2)cos(x/2)*cos(x)==1/2*(2*sin(x/2)*cos(x/2))*cos(x)=1/2*sin(x)*cos(x)=1/4*(2*sin(x)*cos(x))=1/4*sin(2x)