Understanding the relationship of polar and rectangular coordinates

The video tutorial explains the relationship between coordinates and distance in trigonometry, focusing on the unit circle where the radius (r) is 1. It covers the definitions of sine, cosine, and tangent, and how these are simplified on the unit circle. The tutorial also discusses the impact of different values of r on polar coordinates and emphasizes the importance of key trigonometric formulas.

What is the significance of the variable 'r' in trigonometry as discussed in the text?

Explain how the definitions of sine, cosine, and tangent change when 'r' is equal to 1.

Discuss the importance of understanding the unit circle in relation to trigonometric functions.

How does the relationship between 'x', 'y', and 'r' change when 'r' is extended beyond 1?

What is the formula for the relationship between 'x', 'y', and 'r' as mentioned in the text?