How to convert a rectangular coordinate to polar

The video tutorial explains how to convert X&Y coordinates to polar coordinates. It covers graphing points, calculating the radius using the Pythagorean theorem, and determining the angle Theta using tangent and the unit circle. The tutorial emphasizes understanding the relationship between the opposite and adjacent sides in a right triangle and how these relate to polar coordinates.

What is the relationship between the radius (R) and the sides of the right triangle formed in the polar coordinate system?

How do you calculate the value of R when given the coordinates (1, 1)?

Explain how to find the tangent of an angle using the unit circle.

What does the angle π/4 represent in the context of polar coordinates?

What is the value of Theta when the opposite and adjacent sides are equal to 1?