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

Let f(x)=sin^(3)x+sin^(3)(x+(2 pi)/(3))+sin^(3)(x+(4 pi)/(3)) then the primitive of f(x)w.r.t.x is

sin^(3)x +sin^(3)(x-(2pi)/3) +sin^(3)(x+(2pi)/3)=0

f(x)= sin^(2)x + sin^(2) (x + (pi)/(3)) + cos x cos (x + (pi)/(3)) then f'(x) = ………

If f(x)=sin^(2)((pi)/(8)+(x)/(2))-sin^(2)((pi)/(8)-(x)/(2)) then the period of f is

If f(x)=sin^(2)((pi)/8 + (x)/2) -sin^2((pi)/8-(x)/(2)) , then the period of f is

35 .Value of sin^(2)x+sin^(2)(x+pi/3)+sin^(2)(x-pi/3) is equal to

If f(x)=sin^(2)x+sin^(2)(x+pi//3)+cosxcos(x+pi//3) and g(5//4)=1 then (gof)(x)=

If f(x)=sin^2x+sin^2(x+pi/3)+cos x.cos(x+pi/3) and g(5/4)=1 , then

Prove that the value of each the following determinants is zero: sin^(2)(x+(3 pi)/(2))quad sin^(2)(x+(5 pi)/(2))quad sin^(2)(x+(7 pi)/(2))sin(x+(3 pi)/(2))quad sin(x+(5 pi)/(2))quad sin(x+(7 pi)/(2))sin(x-(3 pi)/(2))quad sin(x-(5 pi)/(2))quad sin(x-(7 pi)/(2))