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SIN()

Overview

SIN() calculates the sine of an angle, where the input is specified in radians. This trigonometric function is useful for mathematical calculations, signal processing, and various scientific applications. The sine function returns values between -1 and 1, representing the y-coordinate of a point on the unit circle.

Function Format

SIN(number)

Return Value

SIN() returns a numeric value between -1 and 1

Examples

// Sine of 0 radians
SIN(0) = 0

// Sine of π radians
SIN(PI()) = 0

// Sine of π/2 radians
SIN(PI()/2) = 1

// Sine of 100 radians
SIN(100) = -0.5064

// Additional examples
SIN(PI()/6) = 0.5        // Sine of 30 degrees
SIN(PI()/4) = 0.7071     // Sine of 45 degrees
SIN(PI()/3) = 0.8660     // Sine of 60 degrees

Notes

• Important behaviors:
  • Input must be in radians
  • Returns values between -1 and 1
  • Periodic function with period 2π
  • Returns 0 for multiples of π
  • Returns 1 for π/2 + 2πn
  • Returns -1 for 3π/2 + 2πn
• Common use cases include:
  • Trigonometric calculations
  • Wave analysis
  • Signal processing
  • Physics calculations
  • Engineering applications
• The function is useful for:
  • Angle calculations
  • Waveform analysis
  • Oscillatory motion
  • Harmonic analysis

See Also

• COS()
• TAN()
• PI()