සංගතිකSangathika

SAM · Roots · leaf

Trigonometry and the unit circle

An angle is a position on the dial, and sine and cosine are its shadows on the two axes.

Before this leaf: Functions.
This leaf feeds: Linear algebra, Integration.
Objects you will meet again: the dial, the 3-4-5 triangle.

planned 0 of 16 lessons built

The Trigonometry and the unit circle leaf, with the cast objects it uses drawn on its veins සංගතික · Sangathika · SAM. © 2026 Niranga Dharmaratna. CC BY-SA 4.0.
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Lessons, notes and demos

One row per lesson, in the order the leaf builds up. Each lesson holds its notes, its demos and its challenges on one page. A demo link opens the lesson at that demo.

This leaf is planned. Its lessons are being designed now, and each one appears here when it is built. The strip above shows its planned length.

Linear Algebra already uses a bearing and a rotation matrix borrowed from here; the dial is the most draggable object in the tree.

Glossary

Every new word from this leaf appears here, with one sentence and the lesson that introduces it.

For the teacher

Sequencing and rationale

The sequencing for this leaf is published with its first lessons.