Understanding Sine & Cosine Through Geometry | Trigonometry
Автор: Mathematika Labs EN
Загружено: 2026-02-08
Просмотров: 428
Описание:
In this video, we first show that sine and cosine are the coordinates of a point M on the unit circle.
When a point moves along the unit circle and is determined by an angle θ,
the cosine corresponds to the horizontal (x) coordinate,
and the sine corresponds to the vertical (y) coordinate.
From this geometric definition, we then explain why sine and cosine are always bounded between −1 and 1, and why their values repeat after a full rotation.
🎥 What you will learn in this video:
Why sine and cosine are coordinates on the unit circle,
How geometric projections define cosine and sine,
Why sine and cosine always stay between −1 and 1,
The values of sine and cosine for key angles (0, π/6, π/3, π/2, π, 2π).
This video is designed for high-school students, teachers, and anyone who wants to understand trigonometry through geometry, not memorization.
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