This math unit initiates learners into the application and manipulation of trigonometric identities starting with foundational concepts and advancing into sophisticated manipulations. Students first engage with trigonometric ratios and their signs across the four quadrants, enhancing their understanding of how these signs affect the computation of trig values in various quadrant scenarios. Progression in this unit takes learners into more detailed applications, involving challenging tasks of verifying the correctness of angle computations and trigonometric values at specific quadrant locations. The unit then elevates to exploring trigonometric identities, starting with simpler formulae and extending into more complex identities such as double angle, half-angle, and power-reducing identities. Each subsequent topic delves deeper into verifying the truth of intricate trigonometric identities including sum/difference identities and transformations involving sums to products and products to sums using variables expressed in Greek letters. By the culmination of this unit, students develop a nuanced understanding and ability to manipulate trigonometric identities essential for higher-level mathematics.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.