Tan Calculator

Calculate the tangent of an angle in degrees or radians.

Degrees

How to Use

  • Select the angle unit: Degrees or Radians.
  • Enter the angle value.
  • Click 'Calculate' to get the tangent value.
  • Click 'Clear' to reset the calculator.

About Tangent (tan)

In trigonometry, the tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side in a right-angled triangle.

Formula

tan(θ) = Opposite / Adjacent = sin(θ) / cos(θ)

Properties

The tangent function is periodic with a period of π (180°). It is undefined at 90°, 270°, etc., where cos(θ) = 0.

Common Values

  • tan(0°) = 0
  • tan(30°) ≈ 0.5774
  • tan(45°) = 1
  • tan(60°) ≈ 1.7321
  • tan(90°) = Undefined

Applications

  • Calculating slopes and inclines
  • Determining heights and distances in surveying
  • Navigational calculations