The process of transforming to polar coordinates entails a switch from the standard rectangular (x, y) coordinates to the alternative polar (r, θ) coordinates. In this context, the radius r represents the distance from the origin to the specific point, and the angle θ is measured in an anti-clockwise direction from the x-axis. The standard formulas used for this transformation are r = √(x² + y²) and θ = tan⁻¹(y/x).
| Topic | Problem | Solution |
|---|---|---|
| None | Convert the point from rectangular coordinates in… | Given the rectangular coordinates of a point as (7,-7). |
| None | Convert the given point from rectangular form to … | \( r = \sqrt{13^2 + 27^2} \) |
| None | The rectangular coordinates of a point are $(-10,… | The rectangular coordinates of a point are $(-10,0)$. We are asked to find the polar coordinates. |
| None | Convert the rectangular coordinates $(\sqrt{3},-1… | Find the distance from the origin (r) using the formula: \(r = \sqrt{x^2 + y^2}\) |