Find two coterminal angles for a large positive angle

The video tutorial explains how to find the smallest positive and negative coterminal angles for a given angle of 779 degrees. It begins by discussing the concept of coterminal angles and the need to find angles within 360 degrees. The instructor demonstrates the process of subtracting full revolutions to find the smallest positive coterminal angle, resulting in 59 degrees. Then, the tutorial covers finding the smallest negative coterminal angle by subtracting revolutions in the negative direction, resulting in -301 degrees.

What is the significance of subtracting 360 degrees when finding coterminal angles?

Describe the relationship between positive and negative coterminal angles.