This math unit on trigonometry starts with elementary applications of the Pythagorean identities in the context of the unit circle to determine trigonometric functions based on X, Y coordinates. As the unit progresses, students transition from handling dimensions in degrees to also working with radians, enhancing their comprehension of the unit circle. A focus is then placed on understanding the properties and identities of trigonometric functions for negative angles, exploring basic identities for sine, cosine, tangent, secant, cosecant, and cotangent vis-à-vis their behavior and transformations under negative angles. Further, the unit delves into specific trigonometric identities involving squared trigonometric functions and explores the relationships within these identities both in degrees and radians. Double-angle and half-angle identities are then introduced, with practice exercises handling expressions and verifying identities in various formats. The unit culminates by examining co-function identities, solidifying an understanding of how basic trigonometric functions transform under angle manipulations like shifts or period changes in both degrees and radians. Throughout, students practice by choosing correct answers, completing expressions, and verifying the accuracy of trigonometric identities.Skills you will learn include:
Topics are small, focused areas which build towards the greater unit's goals.