Exploring the Definition of Trigonometric Ratios
Compare trigonometric ratios on circles of radius 2 and radius 1, and explore what their definitions reveal.
Why do trigonometric ratios stay the same when the radius changes from 2 to 1? Explain why the values do not change.
For sine and cosine, was it easier to find the values with radius 2 or radius 1? Explain your reasoning.
For tangent, it was a bit harder to find the value with both radius 2 and radius 1. Why do you think it felt more difficult? And can you think of a way to make it easier, similar to sine and cosine?