### Instruction: In polar coordinates, the point $\left( -2, \frac{3 \pi}{8} \right)$ is equivalent to what other point, in the standard polar coordinate representation?  Enter your answer in the form $(r,\theta),$ where $r > 0$ and $0 \le \theta < 2 \pi.$.### Response: I know that polar coordinates are a way of describing a point's location using its distance from the origin (r) and its angle counterclockwise from the positive x-axis (theta).
The given point has a negative r value, which means it is on the opposite side of the origin from where theta points.
To find the equivalent point with a positive r value, I need to add pi to the angle and take the absolute value of the distance.
This way, I get the same point but with the angle pointing in the opposite direction and the distance being positive.