Answer
$h(t)=\cos t$
$g(t)=\sin t$
$f(t)=t^{2}$
Work Step by Step
Separating the function into three processes:
$1. h(t)=\cos t$
$2. g(h(t))=g(\cos t)=\sin(\cos t)=\sin (h(t))$
$g(t)=\sin t$
$3. f(g(h(t)))=f(\sin(\cos t))=\sin^2(\cos t)={g(h(t))}^2$
$f(t)=t^{2}$
