Learn how to apply the Law of Cosines in trigonometry, exploring its relationship to the Pythagorean Theorem and its use in finding missing sides and angles in triangles. Discover various permutations and work through examples involving Side-Angle-Side and Side-Side-Side scenarios. Gain practical knowledge on solving for side angles, missing angles, and right triangles. Compare the Law of Cosines with the Law of Sines and apply these concepts to real-world situations, such as flight calculations.