El Camino College - Division of Mathematical Sciences
Math 170
Trigonometry
3 units; 3 hours lecture
Grading Method: Letter
Associate Degree Credit --- Transfers to CSU --- Does Not Transfers to UC
Prerequisite: Mathematics 60 with a minimum grade of C and Mathematics 80 with a minimum grade of C, or qualification by testing (El Camino College Mathematics Placement Test) and assessment.
Catalog Description:
This course includes a study of trigonometric functions, their inverses, trigonometric identities, equations, complex numbers, graphs of trigonometric functions, and applications.
Note: One year of high school geometry is equivalent to Mathematics 60.
Course Objectives and Methods of Evaluation:
- Course objectives (list the major objectives stated as student outcomes in behaviorally measurable terms.)
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- Solve problems using angles and triangles.
- Define trigonometric functions using the unit circle and right triangles.
- Find values of trigonometric functions using reference angles.
- Graph trigonometric functions and their inverses.
- Solve problems using sum, difference, multiple-angle, and product-sum formulas.
- Solve problems using the Laws of Sines and Cosines.
- Perform operations on complex numbers, including finding powers and roots.
- Perform operations of addition, subtraction, and scalar multiplication on vectors.
- Solve problems using vectors.
- Prove trigonometric identities and solve trigonometric equations.
- Prove trigonometric identities and solve trigonometric equations.
- solve application problems.
- Solve problems using technology (calculator and/or computer software).
- Methods of Evaluation - Associate Degree Credit Course
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- Substantial writing assignments are inappropriate for this degree applicable course because:
- The course primarily involves skill demonstrations or problem solving.
- Computational or non-computational problem-solving demonstrations, including:
- Exam
- Quizzes
- Homework problems
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Outline of Subject Matter
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Approximate Time
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Major Topic
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18 hours
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I. Trigonometry
- Radian and Degree Measure
- Trigonometric functions and unit circle
- Trigonometric functions of an acute angle
- Reference angles
- Graphs of trigonometric functions
- Inverse trigonometric functions and their graphs
- Applications
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12 hours
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II. Analytic Trigonometry
- Trigonometric identities
- Trigonometric equations
- Sum , difference, multiple angle and product-sum formulas
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9 hours
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III. Applications
- Laws of Sines and Cosines
- Vectors and their applications
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6 hours
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IV. Complex Numbers
- Arithmetic
- Complex solutions of polynomial equations
- Trigonometric form
- De Moivre's Theorem and nth roots
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9 hours
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Examinations
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Total:
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54 Hours
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Planned Instructional Activities:
Lecture, discussion, individual and group work
Entrance Skills and Knowledge:
List the required skills and/or knowledge without which a student would be highly unlikely to receive a grade of A, B, C, or Credit (or for Health and Safety, would endanger self or others) in the Target Course.
- Solve application problems at the Intermediate Algebra level.
- Solve linear and quadratic equations at the Intermediate Algebra level.
- Graph basic functions: linear, quadratic exponential and logarithmic at the Intermediate Algebra level.
- Recognize geometric relationships.
- Solve problems involving right triangles.
Source of information: Course Outline of Record dated January, 2001
Last Updated On: 11/3/09