
The Trigonometry course offers a comprehensive exploration of the relationships between angles and sides of triangles, with a focus on right triangles and the unit circle. This course is designed to provide students with a solid foundation in trigonometric concepts, identities, and applications, equipping them with the skills necessary to solve real-world problems.
Course Objectives
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Fundamental Concepts: Students will learn the basic definitions of trigonometric functions, including sine, cosine, and tangent, as well as their relationships to the sides of triangles.
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Trigonometric Identities: The course will cover essential identities, such as the Pythagorean identity and angle sum/difference identities, enabling students to simplify expressions and solve equations.
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Graphing Trigonometric Functions: Students will explore the graphs of trigonometric functions, understanding their periodic nature, amplitude, and phase shifts.
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Applications: Emphasis will be placed on applying trigonometric concepts to real-world scenarios, including physics, engineering, and architecture, to solve for distances, angles, and other key measurements.
Learning Outcomes
Upon completion of the course, students will be able to:
- Define and apply the primary trigonometric functions and their inverses.
- Utilize trigonometric identities to simplify expressions and solve equations.
- Graph trigonometric functions and analyze their properties.
- Apply trigonometric principles to solve practical problems in various fields, including physics and engineering.
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