Answer:
To determine which point is not equivalent to (7, 100°), we need to convert the angles to their equivalent angles in the range of 0° to 360°. This can be done by adding or subtracting multiples of 360° until the angle is within the desired range.
For (7, 60°):
Angle 60° is already within the range of 0° to 360°.
For (7, -260°):
Adding 360° to -260°:
-260° + 360° = 100°
For (7, 460°):
Subtracting 360° from 460°:
460° - 360° = 100°
For (7, 820°):
Adding 360° to 820°:
820° + 360° = 1180°
Now, comparing all the points:
A. (7, 60°) - Equivalent to (7, 60°)
B. (7, -260°) - Equivalent to (7, 100°)
C. (7, 460°) - Equivalent to (7, 100°)
D. (7, 820°) - Not equivalent to (7, 100°)
The correct answer is D. (7, 820°) is not equivalent to (7, 100°).