The polar coordinates (5,π/6) represent a point that also has polar coordinates

Question

a. (−5,−5pi/6)
b. (5,13pi/6)
c. (5,−11pi/6)
d. all of these

Answer 1

The polar coordinates (5,π/6) represent a point that also has polar coordinates
a. (−5,−5pi/6) because the two angles (pi/6 & -5pi/6) differ by 180^o (p radians), and the r values are opposites.

 

I suggest that you make a quick sketch of the given ray, and then make sketches of the OTHER choices & see if any of them are equivalent.