9)) \( \frac{\cos 30^{\circ} \sin 45^{\circ} \tan 60^{\circ} \cos 45^{\circ}}{\sin 60 \tan 30} \quad \) 10) \( \left(\tan 60^{\circ}\right)^{2}+\frac{\cos 60^{\circ}}{\sqrt{3}}+\frac{\sin 45^{\circ}}{\sqrt{2}} \)

The expression involves trigonometric functions of well-known angles, which should make calculations easier. Remember that \( \cos 30^{\circ} = \frac{\sqrt{3}}{2} \), \( \sin 45^{\circ} = \frac{\sqrt{2}}{2} \), \( \tan 60^{\circ} = \sqrt{3} \), \( \cos 45^{\circ} = \frac{\sqrt{2}}{2} \), \( \sin 60^{\circ} = \frac{\sqrt{3}}{2} \), and \( \tan 30^{\circ} = \frac{1}{\sqrt{3}} \). Plugging these values into your expression can make the math a breeze! Now for the second problem, recall that \( \tan 60^{\circ} = \sqrt{3} \) squared gives you \( 3 \). For \( \cos 60^{\circ} \), we know it’s \( \frac{1}{2} \), and \( \sin 45^{\circ} \) is \( \frac{\sqrt{2}}{2} \). By substituting these values into the equation, you'll quickly determine the numerical result. It’s like a trigonometric treasure hunt!