If `f(x)=sin^2x+sin^2(x+pi/3)+cosxcos(x+pi/3)a n dg(5/4)=1,` then `(gof)(x)` is ____________

If f(x)=sin^(2)x+sin^(2)(x+(pi)/(3))+cos x cos(x+(pi)/(3))andg((5)/(4))=1 then (gof)(x) is

If f(x)=sin^(2)x+sin^(2)(x+(2pi)/(3))+sin^(2)(x+(4pi)/(3)) then :

If f(x)=2sin^(3)x-3sin^(2)x+12sin x+5AA x in(0,pi/2) then

If f: R->R be given by f(x)=sin^2x+sin^2(x+pi//3)+cosx\ cos(x+pi//3) for all x in R , and g: R->R be such that g(5//4)=1 , then prove that gof: R->R is a constant function.

If f'(x)=sin x+sin4x cos x then f'(2x^(2)+(pi)/(2))=