The Pythagorean Identity
sin²θ + cos²θ = 1, for every angle.
Concept
It is just x² + y² = 1
Since the unit circle point is (cos θ, sin θ) and lies on a radius-1 circle, cos²θ + sin²θ = 1 automatically.
Given one of the two and a quadrant, you can always recover the other: take the square root of 1 minus the square, then fix the sign from the quadrant.
sin²θ + cos²θ = 1