Sketch a rectangular coordinate system on top of the polar grid so that the origins coincide
\and the -axis aligns with the polar axis.
(1).Graph the rectungular grid.
\(2).Plot the points .
Graph :
\
Now plot the point and connect this point perpendicularly to the
-axis and to the origin to form a right triangle.
From the graph ,we can see that the point lies on the terminal side of
angle with the polar axis as its initial side.
To find the value of , use the tangent ratio.
Therefore, point lies on the terminal side of about a
angle with the polar axis as
its initial side.
\The lengths of the legs of the right triangle shown are and
, so the hypotenuse
of this
right triangle is .
Therefore, a set of polar coordinates for this point are approximately .
The ordered pair of polar coordinates are .