Learn how to calculate the area of a sector, arc length on a great circle of a sphere, angular velocity, and rotational velocity in this comprehensive trigonometry lesson. Explore various applications of these concepts through problem-solving exercises and examples. Gain a deeper understanding of the relationship between angular and linear velocity, and discover how these principles apply to real-world scenarios. Follow along as the instructor guides you through step-by-step solutions, providing clear explanations and insights to enhance your precalculus and trigonometry skills.