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TAN()

Overview

TAN() calculates the tangent of an angle, where the input is specified in radians. This trigonometric function is useful for mathematical calculations, engineering applications, and various scientific computations. The tangent function represents the ratio of sine to cosine for a given angle.

Function Format

TAN(number)

Return Value

TAN() returns a numeric value

Examples

// Tangent of 0 radians
TAN(0) = 0

// Tangent of π radians
TAN(PI()) = 0

// Tangent of cosine of π
TAN(COS(PI())) = -1.5574

// Tangent of 100 radians
TAN(100) = -0.5872

// Additional examples
TAN(PI()/4) = 1.0        // Tangent of 45 degrees
TAN(PI()/6) = 0.5774     // Tangent of 30 degrees
TAN(PI()/3) = 1.7321     // Tangent of 60 degrees

Notes

• Important behaviors:
  • Input must be in radians
  • Returns 0 for multiples of π
  • Undefined for π/2 + nπ
  • Periodic function with period π
  • Range is all real numbers
• Common use cases include:
  • Trigonometric calculations
  • Engineering applications
  • Physics calculations
  • Signal processing
  • Navigation systems
• The function is useful for:
  • Angle calculations
  • Slope determination
  • Wave analysis
  • Geometric computations
• Mathematical properties:
  • tan(θ) = sin(θ)/cos(θ)
  • Periodic with period π
  • Odd function: tan(-θ) = -tan(θ)
  • Asymptotic at π/2 + nπ

See Also

• SIN()
• COS()
• PI()