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atan()

The atan() CSS function is a trigonometric function that returns the inverse tangent of a number between -∞ and +∞. The function contains a single calculation that returns the number of radians representing an <angle> between -90deg and 90deg.

Syntax

/* Single <number> values */
transform: rotate(atan(1));
transform: rotate(atan(4 * 50));

/* Other values */
transform: rotate(atan(pi / 2));
transform: rotate(atan(e * 3));

Parameter

The atan(number) function accepts only one value as its parameter.

number

A calculation which resolves to a <number> between -∞ and +∞.

Return value

The inverse tangent of an number will always return an <angle> between -90deg and 90deg.

  • If number is 0⁻, the result is 0⁻.
  • If number is +∞ the result is 90deg.
  • If number is -∞ the result is -90deg.

That is:

  • atan(-infinity) representing -90deg.
  • atan(-1) representing -45deg
  • atan(0) representing 0deg
  • atan(1) representing 45deg
  • atan(infinity) representing 90deg.

Formal syntax

<atan()> = 
atan( <calc-sum> )

<calc-sum> =
<calc-product> [ [ '+' | '-' ] <calc-product> ]*

<calc-product> =
<calc-value> [ [ '*' | '/' ] <calc-value> ]*

<calc-value> =
<number> |
<dimension> |
<percentage> |
<calc-constant> |
( <calc-sum> )

<calc-constant> =
e |
pi |
infinity |
-infinity |
NaN

Examples

Rotate elements

The atan() function can be used to rotate elements as it return an <angle>.

HTML

<div class="box box-1"></div>
<div class="box box-2"></div>
<div class="box box-3"></div>
<div class="box box-4"></div>
<div class="box box-5"></div>

CSS

div.box {
  width: 100px;
  height: 100px;
  background: linear-gradient(orange, red);
}
div.box-1 {
  transform: rotate(atan(-99999));
}
div.box-2 {
  transform: rotate(atan(-1));
}
div.box-3 {
  transform: rotate(atan(0));
}
div.box-4 {
  transform: rotate(atan(1));
}
div.box-5 {
  transform: rotate(atan(99999));
}

Result

Specifications

Browser compatibility

Desktop Mobile
Chrome Edge Firefox Internet Explorer Opera Safari WebView Android Chrome Android Firefox for Android Opera Android Safari on IOS Samsung Internet
atan 111 111 108 No 97 15.4 111 111 108 No 15.4 No

See also

© 2005–2023 MDN contributors.
Licensed under the Creative Commons Attribution-ShareAlike License v2.5 or later.
https://developer.mozilla.org/en-US/docs/Web/CSS/atan