files/en-us/web/javascript/reference/global_objects/math/tan/index.md

metadata

title: Math.tan()
short-title: tan()
slug: Web/JavaScript/Reference/Global_Objects/Math/tan
page-type: javascript-static-method
browser-compat: javascript.builtins.Math.tan
sidebar: jsref

The Math.tan() static method returns the tangent of a number in radians.

{{InteractiveExample("JavaScript Demo: Math.tan()")}}

function getTanFromDegrees(degrees) {
  return Math.tan((degrees * Math.PI) / 180);
}

console.log(getTanFromDegrees(0));
// Expected output: 0

console.log(getTanFromDegrees(45));
// Expected output: 0.9999999999999999

console.log(getTanFromDegrees(90));
// Expected output: 16331239353195370

Syntax

Math.tan(x)

Parameters

• x
  • : A number representing an angle in radians.

Return value

The tangent of x. If x is {{jsxref("Infinity")}}, -Infinity, or {{jsxref("NaN")}}, returns {{jsxref("NaN")}}.

Due to floating point precision, it's not possible to obtain the exact value π/2, so the result is always finite if not NaN.

Description

Because tan() is a static method of Math, you always use it as Math.tan(), rather than as a method of a Math object you created (Math is not a constructor).

Examples

Using Math.tan()

Math.tan(-Infinity); // NaN
Math.tan(-0); // -0
Math.tan(0); // 0
Math.tan(1); // 1.5574077246549023
Math.tan(Math.PI / 4); // 0.9999999999999999 (Floating point error)
Math.tan(Infinity); // NaN

Math.tan() and π/2

It's not possible to calculate tan(π/2) exactly.

Math.tan(Math.PI / 2); // 16331239353195370
Math.tan(Math.PI / 2 + Number.EPSILON); // -6218431163823738

Using Math.tan() with a degree value

Because the Math.tan() function accepts radians, but it is often easier to work with degrees, the following function accepts a value in degrees, converts it to radians and returns the tangent.

function getTanDeg(deg) {
  const rad = (deg * Math.PI) / 180;
  return Math.tan(rad);
}

Specifications

{{Specifications}}

Browser compatibility

{{Compat}}

See also

• {{jsxref("Math.acos()")}}
• {{jsxref("Math.asin()")}}
• {{jsxref("Math.atan()")}}
• {{jsxref("Math.atan2()")}}
• {{jsxref("Math.cos()")}}
• {{jsxref("Math.sin()")}}
• CSS {{cssxref("tan()")}} function