Sine and Cosine in the Same Right Triangle (Same Reference View)

This example demonstrates how, within a single right triangle, sine and cosine are defined and interpreted using the same reference angle and the corresponding side-length ratios. It helps learners see that sin(θ) and cos(θ) come from different side pairs (opposite vs. adjacent) while sharing the same hypotenuse and the same chosen angle. The key concepts are the trigonometric definitions in a right triangle, the relationship between an angle and side ratios, and the idea that trigonometric values are dimensionless measurements of geometry. The provided GeoGebra “construction summary” contains no explicit commands, so the specific GeoGebra objects/commands cannot be extracted here; however, the construction logically requires creating a right triangle, identifying/labeling the relevant sides, and expressing sin(θ) and cos(θ) via computed ratios. Suitable for middle and high school instruction, especially for introducing trigonometry through dynamic geometry and ratio-based reasoning.