Vector Sine (SIN)

SIN applies the sine trigonometric function to each value in a data series (interpreting values as radians). SIN oscillates between -1 and +1 with a period of 2π radians. This function is fundamental in cycle analysis and wave-based indicators, creating smooth oscillating patterns that model cyclical market behavior. SIN is the quadrature complement to COS (90-degree phase shift) and is essential for building in-phase/quadrature indicator systems.

Developers use SIN in custom cycle indicators, creating synthetic wave-based oscillators, or building quadrature analysis systems. Particularly powerful when combined with Hilbert Transform phase outputs to create leading cycle indicators, or paired with COS for complete I/Q (in-phase/quadrature) decomposition. SIN is essential for MESA-style adaptive indicators, custom Ehlers indicators, and any algorithm requiring periodic/cyclical transformations. Use with detected cycle periods for adaptive wave indicators or phase-based trading signals.