Respuesta :

Answer:

Explanation:

Given:

[tex]\sin\theta=\frac{\sqrt{2}}{2}[/tex]

Take the arcsin of both sides of the equation:

[tex]\begin{gathered} \arcsin(\sin\theta)=\arcsin\left(\frac{\sqrt{2}}{2}\right) \\ \theta=45\degree \end{gathered}[/tex]

The exact acute angle of the given function value is 45 degrees.