1. The problem is to evaluate $\cos(\cos 270^\circ)$.\n\n2. First, recall that $\cos 270^\circ$ means the cosine of 270 degrees.\n\n3. Using the unit circle, $\cos 270^\circ = 0$.\n\n4. Now substitute this value back into the original expression: $\cos(\cos 270^\circ) = \cos(0)$.\n\n5. The cosine of 0 degrees is 1, so $\cos(0) = 1$.\n\n6. Therefore, the final answer is 1.