In high school, you probably learned that trigonometric functions – like sine, cosine and tangent –can be derived, geometrically, from a circle (hence why trig functions are also known as ...

Identifying and sketching related functions The rules from graph translations are used to sketch the derived, inverse or other related functions. Complete the square to find turning points and ...

Part of that is the way it's taught. Students are taught the "unit circle" and its relationship to trigonometry, but many fail to make the leap on how crucial circles are for trig functions. With ...

This investigation describes quantitative relationships between circle segments (portions of a chord, tangent, secant and their co-functions) and the associated intercepted arc. The segments each ...

Moreover, interdisciplinary work has explored finite sums arising in geometric configurations, wherein the interplay between trigonometric identities and elliptic curves produces new relationships ...