INDS 127 - Industrial Applied Right Angle and Oblique Trigonometry2 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.
- Name and label the basic parts of a right triangle.
- Construct ratios of sides for a given angle of a right triangle.
- Name the functions of a given angle using the ratios of the sides of a right triangle.
- Solve a right triangle given one side and one acute angle.
- Solve a right triangle given two sides.
- Apply properties of right triangles to solve practical problems.
- Apply properties of special right triangles (30-60-90, 45-45-90).
- Construct auxiliary lines needed to form the right triangles for solving problems.
- Solve practical shop problems using right triangle trigonometry.
- Solve for sides and angles of oblique triangles using the Law of Sines.
- Solve for sides and angles of oblique triangles using the Law of Cosines.
- Solve for sides and angles of oblique triangles using the Law of Sines.
- Solve for sides and angles of oblique triangles using the Law of Cosines.
- Solve practical oblique triangle problems.
Goal 2: Examine trigonometric functions.
- Apply cofunctions.
- Apply reciprocal functions.
- Apply fundamental relations between trigonometric functions.
- Determine the value of any given function.
- Find the value of an angle given a function.
- Apply projection formulas.
- Apply cotangent formulas.
- Apply a general method for solving trigonometric problems.
- Apply the projection formulas.
- Apply the cotangent formulas.
- Apply a general method for solving trigonometric problems.
- Apply the altitude methods for solving practical problems.
- Solve shop problems involving “V” - type solution.
- Solve shop problems involving lines drawn tangent to a circle, parallel to an angle.
- Solve problems involving the sum and difference of radii.
- Solve machine tool shop problems involving the sum and difference of radii.
- Solve machine tool shop problems involving internal and external tangents.
- Solve advanced machine tool shop problems.
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