Given f(x)=sin x and g(x)=cos x, show that f(g(pi/2))=0.

Answer 1

To find f(g(pi/2)), we first need to find g(pi/2):

g(pi/2) = cos(pi/2) = 0

Now, we substitute this value into f(x):

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

Therefore, f(g(pi/2)) = 0.