# Find all polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 3.

**Solution:**

**The polar coordinate system is a two-dimensional coordinate system in which the location of each point could be traced using two references:**

**1. Its distance from a reference line.**

**2. Its angle from a reference direction**

If (r, θ) are the polar coordinates of a point, then all the polar coordinates are defined as:

(r, θ + 2nπ) and (-r, θ + (2n + 1) π)

**Where n ∈ Z**

Given:

p = (3, -π/3)

**We have to find all polar coordinates of point p**

Where r = 3 and θ = -π/3

**All the polar coordinates of point p are**

p = (3, -π/3 + 2nπ) and

p = (-3, -π/3 + (2n + 1)π)

**Therefore, all the polar coordinates of point p are (3, -π/3 + 2nπ) and (-3, -π/3 + (2n + 1)π).**

## Find all polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 3.

**Summary:**

All polar coordinates of point p where p = ordered pair 3 comma negative pi divided by 3 are (3, -π/3 + 2nπ) and (-3, -π/3 + (2n + 1)π).

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