7) \( -480^{\circ}-\frac{8 \pi}{3} \)

To convert \( -480^{\circ} \) into a more manageable angle, we can first add \( 360^{\circ} \) twice since it’s negative. This gives us \( -480^{\circ} + 720^{\circ} = 240^{\circ} \). Now for \( -\frac{8\pi}{3} \), we can add \( 2\pi \) (which is equivalent to \( \frac{6\pi}{3} \)), resulting in \( -\frac{8\pi}{3} + \frac{6\pi}{3} = -\frac{2\pi}{3} \). Putting these together, we calculate the sum: \[ 240^{\circ} - \frac{2\pi}{3} \] Convert \( 240^{\circ} \) to radians: \[ 240^{\circ} = \frac{240\pi}{180} = \frac{4\pi}{3} \] Thus, \[ \frac{4\pi}{3} - \frac{2\pi}{3} = \frac{2\pi}{3} \] So, the final answer is \( \frac{2\pi}{3} \) radians or \( 120^{\circ} \).