Recall that the point (x,θ) (in polar coordinates) represents the same point as the following polar coordinates:
[tex]\begin{gathered} (-x,\theta+\pi), \\ (-x,\theta-\pi), \\ (x,2n\pi+\theta)\text{.} \end{gathered}[/tex]
Now, notice that:
[tex]\frac{5\pi}{4}=\frac{4\pi}{4}+\frac{\pi}{4}=\pi+\frac{\pi}{4}\text{.}[/tex]
Therefore, the point
[tex](5,\frac{5\pi}{4})[/tex]
represents the same point as the point
[tex](-5,\frac{\pi}{4})\text{.}[/tex]
Answer: Option B.
