CPM Homework Help : PC3 Problem 11-65

Convert the rectangular coordinates below to polar coordinates. Sketch a graph to verify that your polar coordinates lie in the correct quadrant.

Hint:

Draw a diagram. The diagram below is for part (a).

Right Triangle labeled as follows: horizontal leg, 5, vertical leg, 9, hypotenuse, r, angle opposite vertical leg, theta.

More Help:

Use trigonometry to determine the values of $r$ and $θ$ .

Step (a):

$5^2+9^2=r^2$ $\tan(\theta)=\frac{9}{5}$