Fundamentals of Mathematics for Engineers LabENGR 2194Lab # 2 – Trigonometric Relationships: One and Two-Link Planar Robots

Real-World Example Related to Topic!Automotive, aerospace, robotics and building design engineers commonly use:• Trigonometry• Geometrical relationships

Inventor Dean Kamen with Prosthetic Arm

Today's Learning Objectives After today's lab, students will be able to:

1. Understand the basic trigonometric functions.

2. Understand the concept of a unit circle and four quadrants.

3. Understand the concept of a reference angle.

4. Be able to perform the polar to rectangular and rectangular to polar coordinate conversion.

5. Prove a few of the basic trigonometric identities.

Reference Angle Commonly represented as Greek letter ϕ

Less than 90°

Law of Cosines

Law of Sines

MATLAB Commands (e.g., “disp”)

Functions (e.g., sin/sind, cos/cosd, etc.)

Dot Operators

Lab Equipment

Angle 1 = 30 degrees

Angle 2 = 30 degrees

Lab Equipment

Angle 1 = 30 degrees

Angle 2 = 45 degrees

Lab Equipment

Angle 1 = 30 degrees

Angle 2 = 60 degrees

Important Takeaways Essential to Engineers:• Trigonometry

Basic functions

Unit circle and four quadrants

Reference angle

Coordinate conversions

Basic identities

• Technical Computing MATLAB

Preview of Next Lab MATLAB Supplemental Instruction #1• Plotting

Multiple graphs

Line identifiers

Legend