Respuesta :

Equation:

[tex]\cos ^2(x)=1[/tex]

To determine if the given value is a solution, we have to replace the given value of x in the equation as follows:

[tex]\cos ^2(\frac{5\pi}{6})=1[/tex]

Using a calculator configurated in radians we get that:

[tex]\cos ^2(\frac{5\pi}{6})=\frac{3}{4}[/tex]

As 1 ≠ 3/4, then x is not a solution.

Answer: x is not a solution.