Rewrite $\sin 57^{\circ}$ in terms of its cofunction.

Step 1 ：Rewrite \(\sin 57^{\circ}\) in terms of its cofunction, which is cosine. The cofunction identity states that the sine of an angle is equal to the cosine of its complement.

Step 2 ：Find the complement of \(57^{\circ}\), which is \(90^{\circ} - 57^{\circ} = 33^{\circ}\).

Step 3 ：Therefore, \(\sin 57^{\circ}\) can be rewritten as \(\cos 33^{\circ}\).

Step 4 ：The absolute difference between the two values is less than \(1 \times 10^{-9}\), which is a very small number close to zero. This means that the two values are practically equal.

Step 5 ：Final Answer: \(\boxed{\sin 57^{\circ}}\) can be rewritten as \(\boxed{\cos 33^{\circ}}\).