arccos√2\2-arcsin√3\2

[tex]arccos \frac{ \sqrt{2} }{2} - arcsin \frac{ \sqrt{3} }{2} = \frac{ \pi }{4} - \frac{\pi}{3} = \frac{3\pi - 4\pi}{12} = \frac{-\pi}{12} [/tex]