**Polar Coordinates**

We have the following relationships between polar coordinates and rectangular coordinates:

**Ex 1** Find a set of polar coordinates for the point with rectangular
coordinates .

**Sol**
, so we can take .
Since
, we can take .
Therefore is a set of polar coordinates for this point.

**Ex 2** Find rectangular coordinates for the point which has polar
coordinates .

**Sol**
and
, so the point has rectangular
coordinates
.

**Pr A** Find a polar equation for the circle with rectangular equation
.

**Pr B** Find the standard form of the rectangular equation of the circle with
polar equation .

**Pr C** Find two sets of polar coordinates for the point with rectangular
coordinates .

**Pr 1** Find a set of polar coordinates for the point with rectangular
coordinates
.

**Pr 2** Find a set of polar coordinates for the point with rectangular
coordinates .

**Pr 3** Find rectangular coordinates for the point which has polar
coordinates .

**Pr 4** Find a polar equation for the line with equation
in rectangular coordinates.

**Pr 5** Find a polar equation for the line with equation
in rectangular coordinates.

**Pr 6** Find a polar equation for the circle with equation
in rectangular coordinates.

**Pr 7** Find a rectangular equation for the cardioid with polar equation
.

**Pr 8** Find the points of intersection of the curves with polar
equations and
.

Go to Solutions.

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