1. The problem is to calculate the value of $\cos 40^\circ \times \sin 60^\circ$. 2. Recall the values and properties: - $\sin 60^\circ = \frac{\sqrt{3}}{2}$. - $\cos 40^\circ$ is a trigonometric value that can be approximated or left as is. 3. Substitute the known value: $$\cos 40^\circ \times \sin 60^\circ = \cos 40^\circ \times \frac{\sqrt{3}}{2}$$ 4. To get a numerical approximation, use $\cos 40^\circ \approx 0.7660$: $$0.7660 \times \frac{\sqrt{3}}{2} = 0.7660 \times 0.8660 = 0.663$ (approximate) 5. Therefore, the value of $\cos 40^\circ \times \sin 60^\circ$ is approximately $0.663$.