Introduction:
Our Robotics 101 applied problem was a project that required practice of multiple trigonometric skills. To complete this, I was required to determine the angles required for the movement of a robot's arm, given the coordinates of the desired placement of the end of its arm. I completed this by using the fundamental identities that we've learned throughout the year.
robotics_101.pdf | |
File Size: | 174 kb |
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robotics_101_artifacts.pdf | |
File Size: | 1071 kb |
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The Academic Skills and Objectives I Used Were:
- Add, subtract, multiply and simplify polynomials and rational expressions
- Use the inverse relationship between exponential and logarithmic functions to solve equations and problems.
- Prove trigonometric identities and derive some of the basic ones. Know the fundamental identities.
- Know the basic properties of the inverse trigonometric functions: sin-1x, cos-1x, tan-1x, including their domains and ranges. Recognize their graphs.
- Know basic trigonometric identities for sine cosine and tangent ( Fundamental, sum and difference, co functions, double and half angle formulas)
- Solve trigonometric equation using basic identities and inverse trigonometric functions
- Prove the addition and subtraction formula for sine, cosine, and tangent and use them to solve problems.
- Real world applications of problems involving trigonometry such as the laws of sine and cosine.
- Explain the role of determinants in solving systems of linear equation using matrices and compute determinants of two-by-two and three-by-three matrices. Use Crammer’s Rule
- Solve 2x2 and 3x3 systems using row operations (rref), substitution, and by elimination. Be able to solve with and without a calculator.
Justification:
By completing this project I learned about the details required for moving robotic arms. I also learned how to apply very complex trigonomettric functions to real life situations.