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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