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\$tan returns the tangent of an angle of N radians

Synopsis

`\$tan(<N>)[.deg]`

None

Parameters

NThis is the angle in radians for which you wish to retrieve the tangent.

Properties

degSees N as degrees in a 360 degree circle instead of radians.

Example

Tangent is the ratio of the Opposite Side / Adjacent Side of a right triangle, so in a right triangle from the position of an angle of 30 degrees, the length of the Opposite side is .57735 as long as the Adjacent side. As with \$calc(), the returned fraction is limited to 6 decimal places.

```//echo -a There are 2x pi radians in a circle, so a radian is \$calc(360 / (2*\$pi) ) degrees
//var %i 30 | echo -a \$tan(%i).deg is the same as \$tan( \$calc(%i * \$pi / 180) ) except for rounding
```

\$tan accepts numbers larger than 1 rotation of a circle, as if the angle loops past the origin and continues. Assuming you are using the .deg property, angles above 360 degrees return the same result of the angle modulo 360.

`//var %i 400 | echo -a \$tan(%i).deg is the same as \$tan( \$calc(%i % 360) ).deg`