b) Which of the points below is equivalent to \( \left(2,120^{\circ}\right) \) ? Select all that apply. \( \square \) A. \( \left(-2,480^{\circ}\right) \) \( \square \) B. \( \left(-2,300^{\circ}\right) \) \( \square \) C. \( \left(-2,120^{\circ}\right) \) \( \square \) D. \( \left(2,480^{\circ}\right) \)

To find which of the given points is equivalent to \( \left(2,120^{\circ}\right) \), we need to understand that the polar coordinates \((r, \theta)\) represent a point in the polar coordinate system. The point \( \left(2,120^{\circ}\right) \) means that the point is 2 units away from the origin and at an angle of \(120^{\circ}\) counterclockwise from the positive x-axis. Now, let's analyze each of the given points: A. \( \left(-2,480^{\circ}\right) \) - This point is 2 units away from the origin and at an angle of \(480^{\circ}\) counterclockwise from the positive x-axis. Since \(480^{\circ}\) is equivalent to \(120^{\circ}\) (as \(480^{\circ} = 120^{\circ} + 360^{\circ}\)), this point is equivalent to \( \left(2,120^{\circ}\right) \). B. \( \left(-2,300^{\circ}\right) \) - This point is 2 units away from the origin and at an angle of \(300^{\circ}\) counterclockwise from the positive x-axis. Since \(300^{\circ}\) is not equivalent to \(120^{\circ}\), this point is not equivalent to \( \left(2,120^{\circ}\right) \). C. \( \left(-2,120^{\circ}\right) \) - This point is 2 units away from the origin and at an angle of \(120^{\circ}\) counterclockwise from the positive x-axis. This point is equivalent to \( \left(2,120^{\circ}\right) \). D. \( \left(2,480^{\circ}\right) \) - This point is 2 units away from the origin and at an angle of \(480^{\circ}\) counterclockwise from the positive x-axis. Since \(480^{\circ}\) is equivalent to \(120^{\circ}\), this point is equivalent to \( \left(2,120^{\circ}\right) \). Therefore, the points that are equivalent to \( \left(2,120^{\circ}\right) \) are A, C, and D.