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Feb 27, 2024
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INDS 127 - Industrial Applied Right Angle and Oblique Trigonometry

2 Credit: (2 lecture, 0 lab, 0 clinical) 2 Contact Hours: [INDS 124 ]

This course contains a review of principles learned in Applied Geometry; including angle measurement in decimal degrees; and degrees, minutes, and seconds. Trigonometry content will include the six trigonometric ratios, the Pythagorean Identity, values of functions, the Law of Sines, and the Law of Cosines.
OFFERED: spring semesters

Course Goals/ Objectives/ Competencies:
Goal 1:  Examine triangles.

1. Name and label the basic parts of a right triangle.
2. Construct ratios of sides for a given angle of a right triangle.
3. Name the functions of a given angle using the ratios of the sides of a right triangle.
4. Solve a right triangle given one side and one acute angle.
5. Solve a right triangle given two sides.
6. Apply properties of right triangles to solve practical problems.
7. Apply properties of special right triangles (30-60-90, 45-45-90).
8. Construct auxiliary lines needed to form the right triangles for solving problems.
9. Solve practical shop problems using right triangle trigonometry.
10. Solve for sides and angles of oblique triangles using the Law of Sines.
11. Solve for sides and angles of oblique triangles using the Law of Cosines.
12. Solve for sides and angles of oblique triangles using the Law of Sines.
13. Solve for sides and angles of oblique triangles using the Law of Cosines.
14. Solve practical oblique triangle problems.

Goal 2:  Examine trigonometric functions.

1. Apply cofunctions.
2. Apply reciprocal functions.
3. Apply fundamental relations between trigonometric functions.
4. Determine the value of any given function.
5. Find the value of an angle given a function.
6. Apply projection formulas.
7. Apply cotangent formulas.
8. Apply a general method for solving trigonometric problems.
9. Apply the projection formulas.
10. Apply the cotangent formulas.
11. Apply a general method for solving trigonometric problems.
12. Apply the altitude methods for solving practical problems.
13. Solve shop problems involving “V” - type solution.
14. Solve shop problems involving lines drawn tangent to a circle, parallel to an angle.
15. Solve problems involving the sum and difference of radii.
16. Solve machine tool shop problems involving the sum and difference of radii.
17. Solve machine tool shop problems involving internal and external tangents.
18. Solve advanced machine tool shop problems.

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