Respuesta :

Given:

[tex]arcsin(cos35^{\circ})[/tex]

To simplify:

Explanation:

As we know,

[tex]cos\theta=sin(90-\theta)[/tex]

Therefore, we write,

[tex]\begin{gathered} arcsin(cos35^{\circ})=arcsin(sin(90^{\circ}-35^{\circ})) \\ =arcsin(sin(55^{\circ}) \\ =55^{\circ} \end{gathered}[/tex]

Thus, the answer is 55 degrees.

Fina;