Question

Find all of the polar coordinatesof the point p if p=(7, pi/3)

Answer 1

• (7, π/3 +2kπ) . . . for any integer k
• (-7, 4π/3 +2kπ) . . . for any integer k

Explanation:

Adding any multiple of 2π radians to the angle will result in the same point. So, one set of coordinates of the same point can be ...

(7, π/3 +2kπ) . . . . for any integer k

The value of the radius can be negated, and an odd multiple of π can be added to the angle to get the same point. Another set of coordinates of the same point can be ...

(-7, 4π/3 +2kπ) . . . . for any integer k