" (g) "sin^(2)x

If f(x)= sin^(2)x and g(f(x))=|sin x|, then g(x)=

Let f : R rarr R and g : R rarr R be two functions such that fog (x) = sin x^(2) and gof (x) = sin^(2)x . Then , find f(x) and g(x).

If f(x)=3 cos x and g(x)=sin^(2)x , the evaluate: (f+g)((pi)/(2))

If f(x)=3 cos x and g(x)=sin^(2)x , the evaluate: (f+g)((pi)/(2))

Find the area bounded by the following curve : (i) f(x) = sinx, g(x) = sin^(2)x, 0 le x le 2pi (ii) f(x) = sinx, g(x) = sin^(4)x, 0 le x le 2pi

Find the area bounded by the following curve : (i) f(x) = sinx, g(x) = sin^(2)x, 0 le x le 2pi (ii) f(x) = sinx, g(x) = sin^(4)x, 0 le x le 2pi

Find the area bounded by the following curve : (i) f(x) = sinx, g(x) = sin^(2)x, 0 le x le 2pi (ii) f(x) = sinx, g(x) = sin^(4)x, 0 le x le 2pi

Let f:RR rarr RR and g: RR rarr RR be two functions such that (g o f) (x) = sin ^(2) x and ( f o g) (x) = sin (x^(2)) . Find f(x) and g(x) .

Consider the expression g(x)=sin^(2)x-(b+1)sin x+3(b-2) where b is a real parameter Number of integral values of b for which the equation g(x)=0 has exactly one root in the interval (0,pi) are