The polar coordinates that represent the same point as [tex](4,\frac{-\pi}{2})[/tex] is [tex](4,\frac{3\pi}{4})[/tex]
Since [tex](4,\frac{-\pi}{2})[/tex] is already in polar coordinate form, but the angular part is negative, we will add the angle to the complete revolution [tex]2\pi[/tex] to get the equivalent positive angle
[tex]\frac{-\pi}{2}+2\pi=\frac{3\pi}{4}[/tex]
The equivalent polar coordinates are [tex](4,\frac{3\pi}{4})[/tex]
Learn more about rectangular and polar coordinates here: https://brainly.com/question/12809711
