Topic A • Lessons 4.4 & 4.7

Trigonaut: Unit Circle Escape

Repair the cosmic gate by decoding radians, coordinates, and two core trigonometric identities. Every beacon on the star map represents (cos θ, sin θ) on the unit circle.

Mission Map

Unit Circle Beacon Grid

Radians + Coordinates
Click any glowing beacon to inspect its angle, cosine value, sine value, and coordinate pair.

Puzzle Console

Cosmic Lock Challenge

10 glyphs unlock the gate
Score 0
Streak 0
Best 0
Gate glyphs: 0/10 Rank: Cadet

Active Riddle

Press “Launch New Riddle” to begin.

Puzzle Deck

Match Angle Crystals

Select one radian card, then its matching coordinate card. The correct coordinate is always (cos θ, sin θ).

Angle Crystals

Coordinate Keys

Lesson 4.7 Vault

Two Trigonometric Identities

Identity Chamber

Choose “Identity Riddle” to test the vault.

Accuracy Codex

Complete Unit Circle Reference

All key radians

This table verifies every key angle, its cosine, its sine, and its coordinate pair.

Angle θ cos θ sin θ (cos θ, sin θ)