Ever wondered how the simple triangle ratios “SOH-CAH-TOA” connect to the mysterious unit circle you see in trigonometry? In this visual journey, we start with right-angle triangles, stretch and shrink them, and finally rotate them around a circle — revealing how sine and cosine transform from side ratios into powerful functions that describe every angle, positive or negative, even beyond 360°. 🔹 Learn why sine and cosine values stay the same when triangles scale 🔹 See how the unit circle unites geometry and algebra 🔹 Understand how quadrant signs affect sin θ and cos θ 🔹 Discover why trigonometric functions repeat forever ⸻ 📚 Continue Learning (Completely FREE) Take this concept further and practice interactively: 👉 Study the Unit Circle Lesson on DESMOS ⸻ 🌐 Want personalized academic support? Get 1-on-1 online tutoring from top international tutors at LightHouse Global — your academic partner for IB, College Application, and School Subjects. ⸻ 📚 Part of the C-Infinity Series Exploring smooth functions, geometry, and the hidden patterns behind mathematics. ✨ Subscribe for more math visualizations that make abstract ideas feel real: @c-infinity ⸻ 🎥 Chapters 0:00 SOH-CAH-TOA refresher 0:29 Stretching and shrinking triangles 1:34 Extending beyond 90° 2:07 Defining the unit circle 3:33 Coordinates as (cos θ, sin θ) 4:06 Quadrants and sign changes 4:59 Cyclic behavior and negative angles 6:12 Connecting special triangles 7:56 Summary — how triangles forms the unit circle #maths #mathskills #mathsucks #mathstudent #ib #ibmath #internationalbaccalaureate #ibdp #IGCSE #algebra #trigonometry #apmaths #unitcircle #wavefunction #sincostan #sine #cosine # tangent #sohcahtoa #education #mathtutorial #mathtutor #mathsmemes #dsemaths #mathstudents #mathsteacher #mathsisfun #gcsemaths #quickmaths #mathstutor #mathsclass #mathstricks #mathsjokes #brunomathsson #mathstations #mathslover #mathsproblems #mathsfun #alevelmaths #earlymaths #mathsquiz #mathsmeme #mathsmock #mathsnotes #mathsbeauty #ilovemaths #lovemaths #addmaths