This course focuses on the study and application of trigonometric functions and identities. Topics include angle measurement, right and oblique triangle solutions, the unit circle, graphing trigonometric functions, inverse trigonometric functions, and analytic techniques such as verifying identities and solving trigonometric equations. Additional topics include vectors, polar coordinates, and complex numbers, including powers and roots using De Moivre’s Theorem. This course is designed for students intending to pursue Calculus and STEM-related fields.
Prerequisites
MAT 151 or higher with a grade of “C” or higher or math placement as established by District policy.
1. Use various angle measurements (degrees and radians) to define and evaluate trigonometric functions and apply Pythagorean identities.
2. Solve right triangles by applying trigonometric ratios to find unknown side lengths and angle measures.
3. Use radian measure and the unit circle to evaluate trigonometric functions and apply related formulas.
4. Graph trigonometric functions using key features such as amplitude, period, phase shift, and vertical shift.
5. Verify and prove trigonometric identities using fundamental relationships.
6. Solve trigonometric equations, including those involving inverse functions.
7. Apply the Laws of Sines and Cosines, along with vector operations, to solve real-world and geometric problems.
8. Use polar form and De Moivre’s Theorem to compute powers and roots of complex numbers.