MTH 078 Applied Trigonometry

Lecture Hours: 1
Credits: 1

Covers definitions of the trigonometric ratios of sine, cosine and tangent and how they apply to right triangles. Includes applications involving right triangles. Reviews the concepts of angles, triangle similarity, and the Pythagorean theorem. Offers an individualized course that may be started and completed at any time during the term.

Prerequisite: MTH 070 and MTH 076, or equivalent courses as determined by instructor; or consent of instructor. (All prerequisite courses must be completed with a grade of C or better.)
Student Learning Outcomes:

Use mathematical problem-solving techniques involving trigonometric ratios of sine, cosine and tangent as they relate to right triangles. Techniques include the use of diagrams along with symbolic, narrative, and tabular representations.
Create mathematical models of abstract and real-world situations using trigonometric ratios of sine, cosine and tangent as they relate to right triangles.
Use inductive reasoning to develop mathematical conjectures involving trigonometric ratios of sine, cosine and tangent as they relate to right triangles. Use deductive reasoning to verify and apply mathematical arguments involving these trigonometric concepts.
Make mathematical connections to, and solve problems from, other disciplines involving trigonometric ratios of sine, cosine and tangent as they relate to right triangles.
Use oral and written skills to communicate about trigonometric ratios of sine, cosine and tangent as they relate to right triangles.
Use appropriate technology to enhance mathematical thinking and understanding and to solve mathematical problems involving trigonometric ratios of sine, cosine and tangent as they relate to right triangles and judge the reasonableness of the results.

Content Outline

Introduction to Trigonometry
- Review angles, triangle relationships and the Pythagorean Theorem
- Definitions of trigonometric ratios of sine, cosine, and tangent
- Determine trigonometric ratios of acute angles using a calculator and trigonometric tables
- Determine measures of acute angles from trigonometric ratios using a calculator and trigonometric tables
Right Triangle Trigonometry
- Solve for unknown parts of right triangles
- Apply trigonometric, algebraic, and geometric techniques in solving applied problems