[b]Strategy-Group Structure and Visual Focus: [/b]Pair students with high and low readiness. If the all together reduction rules are overwhelming for students, then guide them to focus only on the two most basic cases: [math]\sin(180^{\circ}\pm\alpha)[/math] and [math]\cos(90^{\circ}\pm\alpha)[/math].[br][br][b]Implementation Method:[/b] Encourage using the unit circle visualization to measure and compare the two key side lengths for these simplified cases. This makes more simple the cofunction transformation concept. [br]
[b]Strategy-Generalization and Proof:[/b] Challenge them to derive the reduction rules for the [math]sec[/math] and [math]cosec[/math] functions and their corresponding signs. [br][br][b]Implementation Method:[/b] Ask them to present their derived general rules (e.g., for [math]sec(180^{\circ}\pm x)[/math] and [math]cosec(90^{\circ}\pm x)[/math]) to the class, explaining the geometrical reasoning behind both the name change and the sign rule.