WAVE_LOGIC
The Unit Circle
The foundation of periodicity. Mapping angles to (x, y) coordinates on a circle of radius 1.
θ = 45°
Sine Waves
Oscillation patterns and signal processing. The basis for sound synthesis and physics simulations.
FUNCTIONS
sin θ
y / r
cos θ
x / r
tan θ
y / x
IDENTITIES
Pythagorean
sin²θ + cos²θ = 1
Euler's Identity
e^(iπ) + 1 = 0
Law of Sines
a/sinA = b/sinB = c/sinC
Law of Cosines
c² = a² + b² - 2ab cosC