Given f(x)= sin x and g(x)=cos x find f(g(pi/2))=0. show your work ! will give brainliest for correct

We have the following functions:
 f (x) = sin x
 g (x) = cos x
 The first thing we must do in this case is the composition of functions:
 f (g (x))
 By making the composition we have:
 f (g (x)) = sin (cos x)
 We evaluate for x = pi / 2:
 f (g (pi / 2)) = sin (cos (pi / 2))
 f (g (pi / 2)) = sin (0)
 f (g (pi / 2)) = 0
 
 f (g (pi / 2)) = 0