Question

Identify the polar form of a number graphed:

A. (7, pi/6)
B. (7, -pi/6)
C. (-7, 11pi/6)
D. (7, 5pi/6)

Answer 1

B. (7, -pi/6)

Explanation:

The angle marked on the graph (11π/6) is equivalent to -π/6. Generally, we want to write polar coordinates with a positive radius, but a negative number can be used by adding π to the angle. The number could be written as any of ...

(7, 11π/6), (-7, 5π/6), (7, -π/6), (-7, -7π/6) and an infinite number of others with multiples of 2π added to the angles.

Of these possibilities, the only one offered as an answer choice is ...

(7 -π/6) . . . . . choice B