Respuesta :

Answer:

Step-by-step explanation:

We know that cosx = sin([tex]\pi[/tex] - x)

We can apply it here:

sin(55°) = cosx

cos([tex]\pi[/tex] - 55°) = cosx

Now we apply the arccos to both sides:

x = [tex]\pi[/tex] - 55° + 2k[tex]\pi[/tex] or x = -[tex]\pi[/tex] - 55° + 2k[tex]\pi[/tex]