Lesson 14

Triangle Toolbox: Choosing the Right Trig Method for Every Problem

How can we use the structure and known values of a triangle to choose and justify the right trigonometric method for solving problems in robotic arm design, and how do we know when to switch strategies for the most accurate solution?

Learning Intentions:

Identify and classify triangle types, select and justify the appropriate trigonometric method (SOHCAHTOA, Law of Sines, or Law of Cosines) for solving unknown sides or angles, and apply these strategies to real-world robotic arm design problems, reflecting on their choices and adapting their approach as needed.

Today's Concept:
Single-link robots or positions that form perfect right triangles? That's the 'easy mode.' But real robots, like ours, have two links (a shoulder and an elbow).

When you bend that elbow, the triangle formed by the shoulder, the elbow, and the target is almost never a right triangle. SOHCAHTOA will fail you. Today, we are building the ultimate decision tree. You'll learn how to look at any triangle your robot throws at you, instantly classify it, and pull out the exact right mathematical tool to solve it.

SOHCAHTOA