Question

Convert the rectangular coordinates to polar coordinates with

r > 0 and 0 ≤ θ < 2π.

(8, 6)

(r, θ) =

Answer 1

Answer:

(10, 0.205π)

Step-by-step explanation:

The magnitude of the coordinates is:

$\|\vec r \| = \sqrt{8^{2}+6^{2}}$

$\|\vec r \| = 10$

Besides, the angle associated with the coordinates is:

$\theta = \tan^{-1}\left(\frac{6}{8} \right)$

$\theta = 0.205\pi$

The polar coordinates are (10, 0.205π)