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sin

Represents the trigonometric sine function, one of the fundamental ratios in mathematics.

Overview

Essential in trigonometry, calculus, and mathematical analysis for describing periodic phenomena and wave-like behavior.

  • Automatically formatted in upright (roman) style, distinguishing it from variables.
  • Widely used in physics for wave mechanics, oscillations, and signal processing.
  • Fundamental in engineering for analyzing circular motion and harmonic systems.
  • Often appears with angle arguments in degrees or radians.
  • Frequently combined with other trigonometric functions in identities and equations.

Examples

Basic sine function with angle in radians.

f(x)=sin⁡xf(x) = \sin x 
f(x) = \sin x

Sine function with specific angle and coefficient.

y=2sin⁡(π/3)y = 2\sin(\pi/3) 
y = 2\sin(\pi/3)

Trigonometric identity for sine squared.

sin⁡2x+cos⁡2x=1\sin^2 x + \cos^2 x = 1 
\sin^2 x + \cos^2 x = 1