Final answer:
To find other ordered pairs that name the same point in polar coordinates, we can add or subtract full rotations (360°) to or from the angle. This results in multiple ordered pairs for the points (-2, 330°), (5, -135°), and (7, 60°) within the -360° to 360° range.
Step-by-step explanation:
The subject matter of the question relates to polar coordinates and finding different ordered pairs that represent the same point in the polar coordinate system. In polar coordinates, a point is defined by a radius and an angle. Since the angle component can be increased or decreased by full rotations (360°), we can find multiple ordered pairs that denote the same exact point by adding or subtracting 360° from the original angle.
- The ordered pair (-2, 330°) can also be represented as (-2, -30°), (-2, 330° + 360°), or (-2, 330° - 360°).
- The ordered pair (5, -135°) can also be expressed as (5, 225°), (5, -135° + 360°), or (5, -135° - 360°).
- Lastly, the ordered pair (7, 60°) can be given as (7, -300°), (7, 60° + 360°), or (7, 60° - 360°).
Each new ordered pair is calculated by adding or subtracting 360° to ensure that the resulting angle stays within the range between -360° and 360°.