This math unit focuses on developing and honing students' knowledge and skills in trigonometric identities across various contexts and measurements. Starting with basic applications of the Pythagorean identities involving sine and cosine on the unit circle, the unit progresses through more complex concepts, such as identities for negative angles (Including tan, sec, and cot), double and half-angle formulas, and power-reducing identities. As students move through the sequence, they work with a variety of trigonometric functions and their identities, including secant, cosecant, and cotangent, and explore relationships through angles expressed both in degrees and radians. The unit also delves into sum and difference identities, allowing students to manipulate and transform expressions for problem-solving, extending into conversion practices between sum-product and product-sum identities. The sequence culminates with evaluating the correctness of these identities, reinforcing understanding through true/false questions and practical application scenarios. This structured approach, from basic to more complex identities, equips students with a comprehensive understanding and practical skills in trigonometry, crucial for higher-level mathematics and physics applications.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.