Which polar coordinates represent the same point as (4, −π/2)
You can go full 2π rotate around counterclockwise so the angle wouldn't be negative.
So -π/2 + 2π = -π/2 + 4π/2 = 3π/2
So (4, 3π/2) is the same point as (4, -π/2)
The polar coordinates that represent the same point as \((4,\frac{-\pi}{2})\) is \((4,\frac{3\pi}{4})\)
Since \((4,\frac{-\pi}{2})\) is already in polar coordinate form, but the angular part is negative, we will add the angle to the complete revolution \(2\pi\) to get the equivalent positive angle
\(\frac{-\pi}{2}+2\pi=\frac{3\pi}{4}\)
The equivalent polar coordinates are \((4,\frac{3\pi}{4})\)
Learn more about rectangular and polar coordinates here: https://brainly.com/question/12809711