Question

A point has coordinates (1, -89°). Fill in the missing coordinate so that it is the same point but with a corresponding angle

Answer 1

The missing coordinate given a point (1, -89°) is found by adding the angle to 90°, resulting in the corresponding angle of 179°, hence the point is (1, 179°).

Step-by-step explanation:

The question is asking for the missing coordinate when given a point with coordinates (1, -89°). To find the revolving corresponding angle that represents the same point, we should look for an angle that completes the original angle to 90°, also known as the co-latitude. In this case, since our angle is -89°, we add this angle to 90° to find the corresponding angle.

To calculate the corresponding angle, subtract -89° from 90°:

90° - (-89°) = 90° + 89° = 179°

Therefore, the missing coordinate that would represent the same point with a corresponding angle is (1, 179°).