[m]cos\frac{1}{\sqrt{2}}= α [/m] ⇒ [m]cos α =\frac{1}{\sqrt{2}}[/m], [m] α ∈ [0; π][/m]
⇒ [m]α =\frac{π}{4}[/m]
[m]arcsin(cos\frac{1}{\sqrt{2}}=arcsin α=arcsin\frac{π}{4}= \frac{1}{\sqrt{2}}[/m]
О т в е т. [m]arcsin(cos\frac{1}{\sqrt{2}})= \frac{1}{\sqrt{2}}[/m]