You are looking at a map of your state with a rectangular coordinate grid. It looks like this
You realize that if you convert the coordinates of Your town (labelled with a "YT") to polar coordinates, you can more easily see the distance between the Capitol at the origin and Your town. Can you make this conversion from rectangular to polar coordinates?
Converting Rectangular Coordinates to Polar Coordinates
When converting rectangular coordinates to polar coordinates, we must remember that there are many possible polar coordinates. We will agree that when converting from rectangular coordinates to polar coordinates, one set of polar coordinates will be sufficient for each set of rectangular coordinates.
Convert the following rectangular coordinates to polar form.
Earlier, you were asked to convert rectangular coordinates to polar coordinates.
To convert these rectangular coordinates into polar coordinates, first use the Pythagorean Theorem:
and then use the tangent function to find the angle:
For each equation, convert the rectangular equation to polar form.
To see the Review answers, open this PDF file and look for section 6.5.