Quandaries
and Queries 

Who is asking: Parent Level: All Question: 1. Convert the following coordinates 2. Convert the following coordinates 

Hi, I do it with a diagram.
In polar coordinates r is the distance OP and theta is the angle that the line OP makes with the positive xaxis, usually measured counterclockwise. When P is (7, 24),
To find theta I looked at the diagram below.
The measure of the angle POQ is tan^{1}(QP/OQ) = 73.74^{o}. Thus theta, the angle QOP in the first diagram is 360^{o}  73.74^{0} = 286.26^{o}. (Maybe you want this in radians.) For the second [art again draw a diagram.
Since OP = 4 and angle POQ is pi/3, OQ = 4 cos(pi/3) = 2 and QP = 4 sin(pi/3) = 2 sqrt(3). Penny


