# Polar Coordinate System - Video Tutorials & Practice Problems

### Intro to Polar Coordinates

### Intro to Polar Coordinates Example 1

Plot the point on the polar coordinate system.

$(5,210°)$

Plot the point on the polar coordinate system.

$(-3,-90°)$

Plot the point on the polar coordinate system.

$(6,-\frac{11\pi}{6})$

Plot the point on the polar coordinate system.

$(-2,\frac{2\pi}{3})$

### Determining Different Coordinates for the Same Point

Plot the point $(3,\frac{\pi}{2})$ & find another set of coordinates, $(r,θ)$, for this point, where:

(A) $r≥0,2π≤θ≤4π$,

(B) $r≥0,-2π≤θ≤0$,

(C) $r≤0,0≤θ≤2π$.

$(3,\frac{5\pi}{2}),(-3,-\frac{3\pi}{2}),(-3,\frac{3\pi}{2})$

$(3,\frac{5\pi}{2}),(3,-\frac{3\pi}{2}),(-3,\frac{3\pi}{2})$

$(-3,\frac{5\pi}{2}),(-3,-\frac{3\pi}{2}),(-3,\frac{\pi}{2})$

$(3,\frac{5\pi}{2}),(3,-\frac{3\pi}{2}),(-3,\frac{\pi}{2})$

### Determining Different Coordinates for the Same Point Example 2

Plot the point $(5,-\frac{\pi}{3})$, then identify which of the following sets of coordinates is the same point.

$(-5,-\frac{\pi}{3})$

$(-5,\frac{\pi}{3})$

$(-5,\frac{2\pi}{3})$

$(-5,\frac{5\pi}{3})$

Plot the point $(-3,-\frac{\pi}{6})$, then identify which of the following sets of coordinates is the same point.

$(-3,\frac{11\pi}{6})$

$(-3,\frac{5\pi}{6})$

$\left(3,\frac{11\pi}{6}\right)$

$(3,\frac{\pi}{6})$

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