Given f (x) = sin x and g (x) = cos x find f (g (pi/2)). show all your steps

First we make the composition of functions:

f (x) = sin x

g (x) = cos x

f (g (x)) = sin (cos x)

We now evaluate the composite function in pi / 2:

f (g (pi / 2)) = sin (cos (pi / 2))

f (g (pi / 2)) = sin (0)

f (g (pi / 2)) = 0

Answer:

f (g (pi / 2)) = 0