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tan

Calculates the tangent of an angle (in radians).

Syntax

tan(radians)

Parameters

Parameter Type Description
radians Number/String The angle in radians

Returns

String - The tangent of the angle.

Description

The tan function calculates the tangent of an angle, which equals sin(angle)/cos(angle). The input must be in radians. Use the rad() function to convert degrees to radians if needed.

Examples

Basic Usage

Result = tan(0)
// Result: "0"

Result = tan(0.7853981633974483)  // π/4 (45 degrees)
// Result: "1" (approximately)

Converting from Degrees

// Tangent of 45 degrees
Result = tan(rad(45))
// Result: "1"

// Tangent of 30 degrees
Result = tan(rad(30))
// Result: "0.5773502691896257"

Slope Calculations

// Calculate slope from angle
Slope = tan(rad(AngleDegrees))

// Rise over run
Rise = Run * tan(Angle)

Use Cases

  • Trigonometry: Slope and angle calculations
  • Surveying: Elevation changes
  • Physics: Incline problems
  • Graphics: Perspective calculations

Related Functions

  • sin - Sine
  • cos - Cosine
  • rad - Convert degrees to radians
  • pi - Pi constant

Notes

  • Input must be in radians, not degrees
  • Use rad(degrees) to convert from degrees
  • Tangent is undefined at 90°, 270°, etc. (π/2, 3π/2, ...)
  • Uses JavaScript's Math.tan() internally