Each learning path is one chapter: a guided route through a topic, one small course at a time. Pick a class to see its chapters in order.
A ramp rises 1 metre along a slope of 2 metres. The sine of its angle is one half. But which angle? Thirty degrees, one hundred and fifty degrees and many more all have the sine one half. To make the question have one answer, mathematicians cut each trigonometric graph to a piece that takes every value once. In this chapter you learn the cuts and the graphs they give, the identities that connect the inverse functions, and how to simplify tangled expressions and solve equations with an angle hidden inside. It covers the unit of the Indian syllabus (NCERT, JEE Main) and the matching topics of A-Level, IB and AP. Python draws every graph and checks every identity.