Course Description

Trigonometry explores trigonometric functions and practical applications of trigonometry, such as solving real-life problems through engineering, physics, construction, and design. Students investigate graphs, linear functions, quadratic functions, trigonometric functions, analytical trigonometry, analytical geometry, vectors, and advanced functions. Students develop critical-thinking skills and learn problem-solving techniques to help them succeed in understanding and applying trigonometric principles. By the end of this course, students gain knowledge of and appreciation for trigonometry and problem solving, which will prepare them for future mathematics courses.

Course Breakdown

• Degree and radian measure
• The unit circle
• Solving trigonometric functions
• Verifying trigonometric identities
• Reference angles
• Graphs and translations of trigonometric functions
• Inverse trigonometric functions
• Directional bearings
• Harmonic motion Trigonometric identities
• Trigonometric equations
• Sum, difference, and multiple-angle formulas
• Laws of sines and cosines
• Conic sections
• Polar coordinates
• Parametric equations
• Vectors

Course Goals

1. Analyze the unit circle and its relation to trigonometric functions.
2. Construct graphs of trigonometric functions and identify their key components.
3. Explore the effects of operations between functions. Apply trigonometric identities and formulas to solve problems.
4. Create equations of conic sections, given a set of requirements.
5. Investigate exponential and logarithmic functions.