Most highschool students mainly use sin to calculate the lengths of sides of triangles. So it feels very counterintuitive that sin can be greater than 1. If yo

Most highschool students mainly use sin to calculate the lengths of sides of triangles. So it feels very counterintuitive that sin can be greater than 1. If you define sin as the solution to a particular differential equation, then it's relationship to the hyperbolic functions is much more obvious.