Question

What are the polar coordinates of the point A shown below?

A point plotted on a polar coordinate plane.


Select the correct answer below:


(−2,3π4)
(1,−π4)
(1,−7π4)
(2,−π4)
(−2,π4)
(1,3π4)

Answer 1

Answer:(1,−7π/4)

Explanation:

Note that the point is on the circle whose radius is labeled 1, so r=1 or −1. Of the choices available, only an angle of −7π4, drawn from the positive x axis plots at the point A. So θ=−7π4, and r must be positive, as the angle is measured from the positive x axis. Thus, the polar coordinates are (1,−7π4).