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Analytic Trigonometry

3 Credits | 100 Level | 38 Contact hours

Textbook: PRECALCULUS Enhanced with Graphing Utilities, M. Sullivan and M. Sullivan III, Pearson 5TH Edition.
ISBN: 978-0-13-601578-9

This course covers trigonometric functions, inverse trigonometric functions and their graphs, analytic trigonometry: identities and conditional equations, applications of trigonometric functions or solution of triangles, trigonometric form of complex numbers and DeMoivre ́s theorem, finding nth complex roots, polar coordinates and an introduction to vector spaces.

1. Trigonometric functions, inverse trigonometric functions, and their graphs
2. Analytic Trigonometry: Identities and conditional equations.
3. Applications of Trigonometric Functions: Solution of triangles.
4. Trigonometric form of complex numbers. DeMoivre´s theorem and nth roots.
5. Polar Coordinates. Introduction to plane vectors.

Upon completion of this course, students will be able to:
• Identify trigonometric functions using the unit circle.
• Solve and establish equations where trigonometric functions are involved.
• Change to polar coordinates and identify the graph of some functions in polar coordinates.
• Operate with complex numbers in polar and rectangular form.
• Identify the dot and the cross product of vectors.

Class performance 10%
Homework 15%
Projects 25%
Midterm Exams 20%
Final Exam 30%