1. The problem is to evaluate the functions: $$f(1) = \cos 0^\circ \times \sin 90^\circ$$ $$f(3) = \cos 60^\circ \times 16 \sin 60^\circ$$ 2. Recall the exact values of the trigonometric functions: $$\cos 0^\circ = 1,$$ $$\sin 90^\circ = 1,$$ $$\cos 60^\circ = \frac{1}{2},$$ $$\sin 60^\circ = \frac{\sqrt{3}}{2}$$ 3. Calculate \(f(1)\): $$f(1) = 1 \times 1 = 1$$ 4. Calculate \(f(3)\): $$f(3) = \frac{1}{2} \times 16 \times \frac{\sqrt{3}}{2} = 8 \times \frac{\sqrt{3}}{2} = 4\sqrt{3}$$ 5. Final answers: $$f(1) = 1$$ $$f(3) = 4\sqrt{3}$$