Answer
See plot.
a. $(\frac{5}{2},\frac{5\pi}{2})$
b. $(-\frac{5}{2},\frac{3\pi}{2})$
c. $(\frac{5}{2},-\frac{3\pi}{2})$
Work Step by Step
We can plot the point by moving to angle $\theta=\frac{\pi}{2}$ counterclockwise, and then to $r=\frac{5}{2}$ as shown in the figure.
a. We can find another representation for the same point using the given range as $(\frac{5}{2},\frac{5\pi}{2})$
b. We can find another representation for the same point using the given range as $(-\frac{5}{2},\frac{3\pi}{2})$
c. We can find another representation for the same point using the given range as $(\frac{5}{2},-\frac{3\pi}{2})$
