Respuesta :

Given:

[tex]288^{\circ}[/tex]

To convert degrees into radians:

We know that,

[tex]\text{Radian}=\theta\times\frac{\pi}{180}[/tex]

So, we get

[tex]\begin{gathered} \text{Radian}=288\times\frac{\pi}{180} \\ =\frac{144\pi}{90} \\ =\frac{16\pi}{10} \\ =\frac{8\pi}{5} \end{gathered}[/tex]

Thus, the answer is,

[tex]\frac{8\pi}{5}[/tex]