Plot the point:



Draw a perpendicular from the point down to the x-axis,
label it , the y-coordinate.

Label the x-coordinate .

Draw a radius vector (r) from the point to the origin.
Indicate the angle A with a curved line.



Now we calculate r using the Pythagorean theorem:

 

And we calculate angle A by the trig equation





We find the reference angle using the inverse tangent:
 

However, since this angle is in the second quadrant, we
find the angle A by subtracting the reference angle from 

 or about 



Now we place it in the form

(r,A) = (13,1.97), choice 2

Edwin