sin 60 X cos 30 : cos 45

[tex] \sin(60) \times \cos(30) \times \cos(45) \\ \frac{ \frac{ \sqrt{3} }{2} \times \frac{ \sqrt{3} }{2} }{ \frac{ \sqrt{2} }{2} } \\ \frac{ \frac{3}{4} }{ \frac{ \sqrt{2} }{2} } = \frac{3}{2 \sqrt{2} } = \frac{3 \sqrt{2} }{4} [/tex]