Question

Which of the following points is not equivalent to (7, 100°)?

A. (7, 60 )
B. (7, -260 )
C. (7, 460 )
D. (7, 820 )

Answer 1

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°).