📐 Trigonometry

Spin the angle around the circle — the height is sin, the width is cos. Drag the dot!

θ = 30°

sin θ (height)0.50

cos θ (width)0.87

tan θ = sin/cos0.58

🧠 The Big Idea

On a circle of radius 1, a point at angle θ sits at (cos θ, sin θ) — cosine is the across-distance, sine is the up-distance.
In a right triangle: sin = opposite/hypotenuse, cos = adjacent/hypotenuse, tan = opposite/adjacent.
These let us find heights & distances we can't measure directly — like a tower's height from its shadow's angle. 🗼