Determine if the given polar coordinates represent the same point.
-$$( 1 , \pi / 6 ) , ( - 1,7 \pi / 6 )$$

Question

Quizplus · Accepted Answer

The first coordinate represents a point with radius 1 and angle $\pi/6$, which is the same as a point with radius -1 and angle $7\pi/6$, as both points have the same distance from the origin and differ only by a rotation of the angle of $\pi$ or 180 degrees. Therefore, the two polar coordinates represent the same point.

Determine If the Given Polar Coordinates Represent the Same Point (1,π/6),(−1,7π/6)( 1 , \pi / 6 ) , ( - 1,7 \pi / 6 )(1,π/6),(−1,7π/6)

Determine If the Given Polar Coordinates Represent the Same Point $( 1 , \pi / 6 ) , ( - 1,7 \pi / 6 )$