In this math unit, students engage in a comprehensive exploration of trigonometric identities, focusing on the relationships and transformations between various trigonometric functions. Initially, the unit delves into using Pythagorean identities to convert between cosine and sine values, enhancing understanding of how these functions interrelate across different quadrants, whether represented as ratios, radians, or degrees. As the unit progresses, it expands to include solving for secant from tangent values and vice versa, requiring students to apply their knowledge to more complex scenarios and different quadrant settings. Further advancement in the unit explores conversions between cosecant and cotangent functions, challenging students to manipulate and apply trigonometric identities without direct formulas, across various quadrant representations. The unit culminates in exercises that focus on Pythagorean ratio cancellation, encouraging students to simplify complex trigonometric expressions. This progression finely hones their problem-solving skills and deepens their understanding of trigonometric relationships and identities in advanced trigonometry.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.